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Finding the Fourth Proportional to 149.41, 224.31 and 144.55

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Solution

The fourth proportional to 149.41, 224.31 and 144.55 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.41 : 224.31 = 144.55 : x
  2. Step 2: Convert to fraction form
    149.41/224.31 = 144.55/x
  3. Step 3: Cross multiply
    149.41x = 224.31 × 144.55
  4. Step 4: Simplify right side
    149.41x = 32,422.89
  5. Step 5: Solve for x
    x = 32,422.89/149.41
  6. Step 6: Final answer
    x = 217.01

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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.