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Finding the Fourth Proportional to 240.60, 361.23 and 149.67

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Solution

The fourth proportional to 240.60, 361.23 and 149.67 is: 224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.60 : 361.23 = 149.67 : x
  2. Step 2: Convert to fraction form
    240.60/361.23 = 149.67/x
  3. Step 3: Cross multiply
    240.60x = 361.23 × 149.67
  4. Step 4: Simplify right side
    240.60x = 54,065.29
  5. Step 5: Solve for x
    x = 54,065.29/240.60
  6. Step 6: Final answer
    x = 224.71

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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.