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Finding the Fourth Proportional to 149.56, 205.66 and 133.92

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Solution

The fourth proportional to 149.56, 205.66 and 133.92 is: 184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 205.66 = 133.92 : x
  2. Step 2: Convert to fraction form
    149.56/205.66 = 133.92/x
  3. Step 3: Cross multiply
    149.56x = 205.66 × 133.92
  4. Step 4: Simplify right side
    149.56x = 27,541.99
  5. Step 5: Solve for x
    x = 27,541.99/149.56
  6. Step 6: Final answer
    x = 184.15

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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.