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Finding the Fourth Proportional to 266.20, 397.59 and 229.75

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Solution

The fourth proportional to 266.20, 397.59 and 229.75 is: 343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 397.59 = 229.75 : x
  2. Step 2: Convert to fraction form
    266.20/397.59 = 229.75/x
  3. Step 3: Cross multiply
    266.20x = 397.59 × 229.75
  4. Step 4: Simplify right side
    266.20x = 91,346.30
  5. Step 5: Solve for x
    x = 91,346.30/266.20
  6. Step 6: Final answer
    x = 343.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.