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Finding the Fourth Proportional to 229.15, 316.25 and 141.83

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Solution

The fourth proportional to 229.15, 316.25 and 141.83 is: 195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.15 : 316.25 = 141.83 : x
  2. Step 2: Convert to fraction form
    229.15/316.25 = 141.83/x
  3. Step 3: Cross multiply
    229.15x = 316.25 × 141.83
  4. Step 4: Simplify right side
    229.15x = 44,854.88
  5. Step 5: Solve for x
    x = 44,854.88/229.15
  6. Step 6: Final answer
    x = 195.75

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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.