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Finding the Fourth Proportional to 282.92, 424.49 and 161.42

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Solution

The fourth proportional to 282.92, 424.49 and 161.42 is: 242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.92 : 424.49 = 161.42 : x
  2. Step 2: Convert to fraction form
    282.92/424.49 = 161.42/x
  3. Step 3: Cross multiply
    282.92x = 424.49 × 161.42
  4. Step 4: Simplify right side
    282.92x = 68,521.43
  5. Step 5: Solve for x
    x = 68,521.43/282.92
  6. Step 6: Final answer
    x = 242.19

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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.