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Finding the Fourth Proportional to 510.01, 765.02 and 144.81

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Solution

The fourth proportional to 510.01, 765.02 and 144.81 is: 217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.01 : 765.02 = 144.81 : x
  2. Step 2: Convert to fraction form
    510.01/765.02 = 144.81/x
  3. Step 3: Cross multiply
    510.01x = 765.02 × 144.81
  4. Step 4: Simplify right side
    510.01x = 110,782.55
  5. Step 5: Solve for x
    x = 110,782.55/510.01
  6. Step 6: Final answer
    x = 217.22

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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.