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Finding the Fourth Proportional to 510.76, 766.12 and 145.50

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Solution

The fourth proportional to 510.76, 766.12 and 145.50 is: 218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.76 : 766.12 = 145.50 : x
  2. Step 2: Convert to fraction form
    510.76/766.12 = 145.50/x
  3. Step 3: Cross multiply
    510.76x = 766.12 × 145.50
  4. Step 4: Simplify right side
    510.76x = 111,470.46
  5. Step 5: Solve for x
    x = 111,470.46/510.76
  6. Step 6: Final answer
    x = 218.24

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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.