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Finding the Fourth Proportional to 149.50, 224.16 and 95.26

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Solution

The fourth proportional to 149.50, 224.16 and 95.26 is: 142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 224.16 = 95.26 : x
  2. Step 2: Convert to fraction form
    149.50/224.16 = 95.26/x
  3. Step 3: Cross multiply
    149.50x = 224.16 × 95.26
  4. Step 4: Simplify right side
    149.50x = 21,353.48
  5. Step 5: Solve for x
    x = 21,353.48/149.50
  6. Step 6: Final answer
    x = 142.83

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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.