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Finding the Fourth Proportional to 150.50, 224.46 and 140.24

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Solution

The fourth proportional to 150.50, 224.46 and 140.24 is: 209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.50 : 224.46 = 140.24 : x
  2. Step 2: Convert to fraction form
    150.50/224.46 = 140.24/x
  3. Step 3: Cross multiply
    150.50x = 224.46 × 140.24
  4. Step 4: Simplify right side
    150.50x = 31,478.27
  5. Step 5: Solve for x
    x = 31,478.27/150.50
  6. Step 6: Final answer
    x = 209.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.