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Finding the Fourth Proportional to 185.85, 256.50 and 136.71

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Solution

The fourth proportional to 185.85, 256.50 and 136.71 is: 188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.85 : 256.50 = 136.71 : x
  2. Step 2: Convert to fraction form
    185.85/256.50 = 136.71/x
  3. Step 3: Cross multiply
    185.85x = 256.50 × 136.71
  4. Step 4: Simplify right side
    185.85x = 35,066.12
  5. Step 5: Solve for x
    x = 35,066.12/185.85
  6. Step 6: Final answer
    x = 188.68

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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.