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Finding the Fourth Proportional to 282.92, 390.50 and 166.52

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Solution

The fourth proportional to 282.92, 390.50 and 166.52 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.92 : 390.50 = 166.52 : x
  2. Step 2: Convert to fraction form
    282.92/390.50 = 166.52/x
  3. Step 3: Cross multiply
    282.92x = 390.50 × 166.52
  4. Step 4: Simplify right side
    282.92x = 65,023.27
  5. Step 5: Solve for x
    x = 65,023.27/282.92
  6. Step 6: Final answer
    x = 229.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.