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Finding the Fourth Proportional to 153.54, 231.17 and 138.65

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Solution

The fourth proportional to 153.54, 231.17 and 138.65 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 231.17 = 138.65 : x
  2. Step 2: Convert to fraction form
    153.54/231.17 = 138.65/x
  3. Step 3: Cross multiply
    153.54x = 231.17 × 138.65
  4. Step 4: Simplify right side
    153.54x = 32,049.87
  5. Step 5: Solve for x
    x = 32,049.87/153.54
  6. Step 6: Final answer
    x = 208.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.