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Finding the Fourth Proportional to 502.04, 753.14 and 155.41

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Solution

The fourth proportional to 502.04, 753.14 and 155.41 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.04 : 753.14 = 155.41 : x
  2. Step 2: Convert to fraction form
    502.04/753.14 = 155.41/x
  3. Step 3: Cross multiply
    502.04x = 753.14 × 155.41
  4. Step 4: Simplify right side
    502.04x = 117,042.83
  5. Step 5: Solve for x
    x = 117,042.83/502.04
  6. Step 6: Final answer
    x = 233.13

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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.