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Finding the Fourth Proportional to 185.60, 256.16 and 136.73

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Solution

The fourth proportional to 185.60, 256.16 and 136.73 is: 188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 256.16 = 136.73 : x
  2. Step 2: Convert to fraction form
    185.60/256.16 = 136.73/x
  3. Step 3: Cross multiply
    185.60x = 256.16 × 136.73
  4. Step 4: Simplify right side
    185.60x = 35,024.76
  5. Step 5: Solve for x
    x = 35,024.76/185.60
  6. Step 6: Final answer
    x = 188.71

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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.