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Finding the Fourth Proportional to 334.18, 502.15 and 180.21

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Solution

The fourth proportional to 334.18, 502.15 and 180.21 is: 270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.18 : 502.15 = 180.21 : x
  2. Step 2: Convert to fraction form
    334.18/502.15 = 180.21/x
  3. Step 3: Cross multiply
    334.18x = 502.15 × 180.21
  4. Step 4: Simplify right side
    334.18x = 90,493.52
  5. Step 5: Solve for x
    x = 90,493.52/334.18
  6. Step 6: Final answer
    x = 270.80

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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.