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Finding the Fourth Proportional to 154.19, 232.14 and 136.02

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Solution

The fourth proportional to 154.19, 232.14 and 136.02 is: 204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.19 : 232.14 = 136.02 : x
  2. Step 2: Convert to fraction form
    154.19/232.14 = 136.02/x
  3. Step 3: Cross multiply
    154.19x = 232.14 × 136.02
  4. Step 4: Simplify right side
    154.19x = 31,576.19
  5. Step 5: Solve for x
    x = 31,576.19/154.19
  6. Step 6: Final answer
    x = 204.79

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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.