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Finding the Fourth Proportional to 229.52, 316.73 and 141.15

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Solution

The fourth proportional to 229.52, 316.73 and 141.15 is: 194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.52 : 316.73 = 141.15 : x
  2. Step 2: Convert to fraction form
    229.52/316.73 = 141.15/x
  3. Step 3: Cross multiply
    229.52x = 316.73 × 141.15
  4. Step 4: Simplify right side
    229.52x = 44,706.44
  5. Step 5: Solve for x
    x = 44,706.44/229.52
  6. Step 6: Final answer
    x = 194.78

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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.