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Finding the Fourth Proportional to 266.41, 399.74 and 112.38

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Solution

The fourth proportional to 266.41, 399.74 and 112.38 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.41 : 399.74 = 112.38 : x
  2. Step 2: Convert to fraction form
    266.41/399.74 = 112.38/x
  3. Step 3: Cross multiply
    266.41x = 399.74 × 112.38
  4. Step 4: Simplify right side
    266.41x = 44,922.78
  5. Step 5: Solve for x
    x = 44,922.78/266.41
  6. Step 6: Final answer
    x = 168.62

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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.