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Finding the Fourth Proportional to 149.42, 204.88 and 135.56

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Solution

The fourth proportional to 149.42, 204.88 and 135.56 is: 185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.42 : 204.88 = 135.56 : x
  2. Step 2: Convert to fraction form
    149.42/204.88 = 135.56/x
  3. Step 3: Cross multiply
    149.42x = 204.88 × 135.56
  4. Step 4: Simplify right side
    149.42x = 27,773.53
  5. Step 5: Solve for x
    x = 27,773.53/149.42
  6. Step 6: Final answer
    x = 185.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.