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Finding the Fourth Proportional to 149.70, 224.67 and 77.52

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Solution

The fourth proportional to 149.70, 224.67 and 77.52 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.70 : 224.67 = 77.52 : x
  2. Step 2: Convert to fraction form
    149.70/224.67 = 77.52/x
  3. Step 3: Cross multiply
    149.70x = 224.67 × 77.52
  4. Step 4: Simplify right side
    149.70x = 17,416.42
  5. Step 5: Solve for x
    x = 17,416.42/149.70
  6. Step 6: Final answer
    x = 116.34

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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.