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Finding the Fourth Proportional to 266.80, 400.19 and 145.30

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Solution

The fourth proportional to 266.80, 400.19 and 145.30 is: 217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 400.19 = 145.30 : x
  2. Step 2: Convert to fraction form
    266.80/400.19 = 145.30/x
  3. Step 3: Cross multiply
    266.80x = 400.19 × 145.30
  4. Step 4: Simplify right side
    266.80x = 58,147.61
  5. Step 5: Solve for x
    x = 58,147.61/266.80
  6. Step 6: Final answer
    x = 217.94

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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.