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Finding the Fourth Proportional to 240.98, 361.40 and 149.64

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Solution

The fourth proportional to 240.98, 361.40 and 149.64 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.98 : 361.40 = 149.64 : x
  2. Step 2: Convert to fraction form
    240.98/361.40 = 149.64/x
  3. Step 3: Cross multiply
    240.98x = 361.40 × 149.64
  4. Step 4: Simplify right side
    240.98x = 54,079.90
  5. Step 5: Solve for x
    x = 54,079.90/240.98
  6. Step 6: Final answer
    x = 224.42

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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.