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Finding the Fourth Proportional to 510.36, 765.52 and 163.69

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Solution

The fourth proportional to 510.36, 765.52 and 163.69 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 765.52 = 163.69 : x
  2. Step 2: Convert to fraction form
    510.36/765.52 = 163.69/x
  3. Step 3: Cross multiply
    510.36x = 765.52 × 163.69
  4. Step 4: Simplify right side
    510.36x = 125,306.06
  5. Step 5: Solve for x
    x = 125,306.06/510.36
  6. Step 6: Final answer
    x = 245.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.