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Finding the Fourth Proportional to 153.42, 229.17 and 119.10

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Solution

The fourth proportional to 153.42, 229.17 and 119.10 is: 177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.42 : 229.17 = 119.10 : x
  2. Step 2: Convert to fraction form
    153.42/229.17 = 119.10/x
  3. Step 3: Cross multiply
    153.42x = 229.17 × 119.10
  4. Step 4: Simplify right side
    153.42x = 27,294.15
  5. Step 5: Solve for x
    x = 27,294.15/153.42
  6. Step 6: Final answer
    x = 177.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.