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Finding the Fourth Proportional to 334.68, 502.17 and 172.47

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Solution

The fourth proportional to 334.68, 502.17 and 172.47 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 502.17 = 172.47 : x
  2. Step 2: Convert to fraction form
    334.68/502.17 = 172.47/x
  3. Step 3: Cross multiply
    334.68x = 502.17 × 172.47
  4. Step 4: Simplify right side
    334.68x = 86,610.50
  5. Step 5: Solve for x
    x = 86,610.50/334.68
  6. Step 6: Final answer
    x = 258.79

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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.