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Finding the Fourth Proportional to 229.64, 316.92 and 142.32

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Solution

The fourth proportional to 229.64, 316.92 and 142.32 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.64 : 316.92 = 142.32 : x
  2. Step 2: Convert to fraction form
    229.64/316.92 = 142.32/x
  3. Step 3: Cross multiply
    229.64x = 316.92 × 142.32
  4. Step 4: Simplify right side
    229.64x = 45,104.05
  5. Step 5: Solve for x
    x = 45,104.05/229.64
  6. Step 6: Final answer
    x = 196.42

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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.