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Finding the Fourth Proportional to 149.29, 224.75 and 134.41

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Solution

The fourth proportional to 149.29, 224.75 and 134.41 is: 202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.29 : 224.75 = 134.41 : x
  2. Step 2: Convert to fraction form
    149.29/224.75 = 134.41/x
  3. Step 3: Cross multiply
    149.29x = 224.75 × 134.41
  4. Step 4: Simplify right side
    149.29x = 30,207.75
  5. Step 5: Solve for x
    x = 30,207.75/149.29
  6. Step 6: Final answer
    x = 202.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.