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Finding the Fourth Proportional to 229.27, 316.47 and 141.97

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Solution

The fourth proportional to 229.27, 316.47 and 141.97 is: 195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.27 : 316.47 = 141.97 : x
  2. Step 2: Convert to fraction form
    229.27/316.47 = 141.97/x
  3. Step 3: Cross multiply
    229.27x = 316.47 × 141.97
  4. Step 4: Simplify right side
    229.27x = 44,929.25
  5. Step 5: Solve for x
    x = 44,929.25/229.27
  6. Step 6: Final answer
    x = 195.97

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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.