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Finding the Fourth Proportional to 153.87, 232.10 and 149.01

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Solution

The fourth proportional to 153.87, 232.10 and 149.01 is: 224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.87 : 232.10 = 149.01 : x
  2. Step 2: Convert to fraction form
    153.87/232.10 = 149.01/x
  3. Step 3: Cross multiply
    153.87x = 232.10 × 149.01
  4. Step 4: Simplify right side
    153.87x = 34,584.48
  5. Step 5: Solve for x
    x = 34,584.48/153.87
  6. Step 6: Final answer
    x = 224.76

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Why These Related Problems?

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