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Finding the Fourth Proportional to 150.13, 224.11 and 131.91

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Solution

The fourth proportional to 150.13, 224.11 and 131.91 is: 196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.13 : 224.11 = 131.91 : x
  2. Step 2: Convert to fraction form
    150.13/224.11 = 131.91/x
  3. Step 3: Cross multiply
    150.13x = 224.11 × 131.91
  4. Step 4: Simplify right side
    150.13x = 29,561.67
  5. Step 5: Solve for x
    x = 29,561.67/150.13
  6. Step 6: Final answer
    x = 196.91

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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.