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Finding the Fourth Proportional to 229.39, 316.42 and 142

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Solution

The fourth proportional to 229.39, 316.42 and 142 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.39 : 316.42 = 142 : x
  2. Step 2: Convert to fraction form
    229.39/316.42 = 142/x
  3. Step 3: Cross multiply
    229.39x = 316.42 × 142
  4. Step 4: Simplify right side
    229.39x = 44,931.64
  5. Step 5: Solve for x
    x = 44,931.64/229.39
  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.