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Finding the Fourth Proportional to 154.82, 231.09 and 136.79

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Solution

The fourth proportional to 154.82, 231.09 and 136.79 is: 204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.82 : 231.09 = 136.79 : x
  2. Step 2: Convert to fraction form
    154.82/231.09 = 136.79/x
  3. Step 3: Cross multiply
    154.82x = 231.09 × 136.79
  4. Step 4: Simplify right side
    154.82x = 31,610.12
  5. Step 5: Solve for x
    x = 31,610.12/154.82
  6. Step 6: Final answer
    x = 204.17

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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.