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Finding the Fourth Proportional to 334.87, 502.20 and 161.42

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Solution

The fourth proportional to 334.87, 502.20 and 161.42 is: 242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.87 : 502.20 = 161.42 : x
  2. Step 2: Convert to fraction form
    334.87/502.20 = 161.42/x
  3. Step 3: Cross multiply
    334.87x = 502.20 × 161.42
  4. Step 4: Simplify right side
    334.87x = 81,062.61
  5. Step 5: Solve for x
    x = 81,062.61/334.87
  6. Step 6: Final answer
    x = 242.07

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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.