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Finding the Fourth Proportional to 266.80, 369.90 and 252.96

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Solution

The fourth proportional to 266.80, 369.90 and 252.96 is: 350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 369.90 = 252.96 : x
  2. Step 2: Convert to fraction form
    266.80/369.90 = 252.96/x
  3. Step 3: Cross multiply
    266.80x = 369.90 × 252.96
  4. Step 4: Simplify right side
    266.80x = 93,569.90
  5. Step 5: Solve for x
    x = 93,569.90/266.80
  6. Step 6: Final answer
    x = 350.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.