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Finding the Fourth Proportional to 240.87, 361.64 and 149.29

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Solution

The fourth proportional to 240.87, 361.64 and 149.29 is: 224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.87 : 361.64 = 149.29 : x
  2. Step 2: Convert to fraction form
    240.87/361.64 = 149.29/x
  3. Step 3: Cross multiply
    240.87x = 361.64 × 149.29
  4. Step 4: Simplify right side
    240.87x = 53,988.49
  5. Step 5: Solve for x
    x = 53,988.49/240.87
  6. Step 6: Final answer
    x = 224.14

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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.