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Finding the Fourth Proportional to 229.20, 316.38 and 141.90

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Solution

The fourth proportional to 229.20, 316.38 and 141.90 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 316.38 = 141.90 : x
  2. Step 2: Convert to fraction form
    229.20/316.38 = 141.90/x
  3. Step 3: Cross multiply
    229.20x = 316.38 × 141.90
  4. Step 4: Simplify right side
    229.20x = 44,894.32
  5. Step 5: Solve for x
    x = 44,894.32/229.20
  6. Step 6: Final answer
    x = 195.87

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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.