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Finding the Fourth Proportional to 229.46, 316.57 and 136.23

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Solution

The fourth proportional to 229.46, 316.57 and 136.23 is: 187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.46 : 316.57 = 136.23 : x
  2. Step 2: Convert to fraction form
    229.46/316.57 = 136.23/x
  3. Step 3: Cross multiply
    229.46x = 316.57 × 136.23
  4. Step 4: Simplify right side
    229.46x = 43,125.20
  5. Step 5: Solve for x
    x = 43,125.20/229.46
  6. Step 6: Final answer
    x = 187.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.