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Finding the Fourth Proportional to 229.28, 316.36 and 136.10

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Solution

The fourth proportional to 229.28, 316.36 and 136.10 is: 187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.28 : 316.36 = 136.10 : x
  2. Step 2: Convert to fraction form
    229.28/316.36 = 136.10/x
  3. Step 3: Cross multiply
    229.28x = 316.36 × 136.10
  4. Step 4: Simplify right side
    229.28x = 43,056.79
  5. Step 5: Solve for x
    x = 43,056.79/229.28
  6. Step 6: Final answer
    x = 187.80

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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.