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Finding the Fourth Proportional to 240.70, 361.23 and 96.52

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Solution

The fourth proportional to 240.70, 361.23 and 96.52 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.70 : 361.23 = 96.52 : x
  2. Step 2: Convert to fraction form
    240.70/361.23 = 96.52/x
  3. Step 3: Cross multiply
    240.70x = 361.23 × 96.52
  4. Step 4: Simplify right side
    240.70x = 34,865.92
  5. Step 5: Solve for x
    x = 34,865.92/240.70
  6. Step 6: Final answer
    x = 144.85

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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.