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Finding the Fourth Proportional to 149.26, 224.12 and 130.13

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Solution

The fourth proportional to 149.26, 224.12 and 130.13 is: 195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.26 : 224.12 = 130.13 : x
  2. Step 2: Convert to fraction form
    149.26/224.12 = 130.13/x
  3. Step 3: Cross multiply
    149.26x = 224.12 × 130.13
  4. Step 4: Simplify right side
    149.26x = 29,164.28
  5. Step 5: Solve for x
    x = 29,164.28/149.26
  6. Step 6: Final answer
    x = 195.39

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Why These Related Problems?

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