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Finding the Fourth Proportional to 502.84, 754.34 and 156.11

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Solution

The fourth proportional to 502.84, 754.34 and 156.11 is: 234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 754.34 = 156.11 : x
  2. Step 2: Convert to fraction form
    502.84/754.34 = 156.11/x
  3. Step 3: Cross multiply
    502.84x = 754.34 × 156.11
  4. Step 4: Simplify right side
    502.84x = 117,759.54
  5. Step 5: Solve for x
    x = 117,759.54/502.84
  6. Step 6: Final answer
    x = 234.19

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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.