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Finding the Fourth Proportional to 149.89, 224.46 and 87.93

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Solution

The fourth proportional to 149.89, 224.46 and 87.93 is: 131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.89 : 224.46 = 87.93 : x
  2. Step 2: Convert to fraction form
    149.89/224.46 = 87.93/x
  3. Step 3: Cross multiply
    149.89x = 224.46 × 87.93
  4. Step 4: Simplify right side
    149.89x = 19,736.77
  5. Step 5: Solve for x
    x = 19,736.77/149.89
  6. Step 6: Final answer
    x = 131.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.