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Finding the Fourth Proportional to 149.67, 224.45 and 95.55

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Solution

The fourth proportional to 149.67, 224.45 and 95.55 is: 143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.67 : 224.45 = 95.55 : x
  2. Step 2: Convert to fraction form
    149.67/224.45 = 95.55/x
  3. Step 3: Cross multiply
    149.67x = 224.45 × 95.55
  4. Step 4: Simplify right side
    149.67x = 21,445.72
  5. Step 5: Solve for x
    x = 21,445.72/149.67
  6. Step 6: Final answer
    x = 143.29

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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.