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Finding the Fourth Proportional to 240.80, 361.17 and 69.80

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Solution

The fourth proportional to 240.80, 361.17 and 69.80 is: 104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.80 : 361.17 = 69.80 : x
  2. Step 2: Convert to fraction form
    240.80/361.17 = 69.80/x
  3. Step 3: Cross multiply
    240.80x = 361.17 × 69.80
  4. Step 4: Simplify right side
    240.80x = 25,209.67
  5. Step 5: Solve for x
    x = 25,209.67/240.80
  6. Step 6: Final answer
    x = 104.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.