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Finding the Fourth Proportional to 185.13, 255.56 and 136.13

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Solution

The fourth proportional to 185.13, 255.56 and 136.13 is: 187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 255.56 = 136.13 : x
  2. Step 2: Convert to fraction form
    185.13/255.56 = 136.13/x
  3. Step 3: Cross multiply
    185.13x = 255.56 × 136.13
  4. Step 4: Simplify right side
    185.13x = 34,787.42
  5. Step 5: Solve for x
    x = 34,787.42/185.13
  6. Step 6: Final answer
    x = 187.91

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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.