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Finding the Fourth Proportional to 229.92, 316.55 and 213.53

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Solution

The fourth proportional to 229.92, 316.55 and 213.53 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 316.55 = 213.53 : x
  2. Step 2: Convert to fraction form
    229.92/316.55 = 213.53/x
  3. Step 3: Cross multiply
    229.92x = 316.55 × 213.53
  4. Step 4: Simplify right side
    229.92x = 67,590.27
  5. Step 5: Solve for x
    x = 67,590.27/229.92
  6. Step 6: Final answer
    x = 293.97

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