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Finding the Fourth Proportional to 266.81, 398.31 and 254.99

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Solution

The fourth proportional to 266.81, 398.31 and 254.99 is: 380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 398.31 = 254.99 : x
  2. Step 2: Convert to fraction form
    266.81/398.31 = 254.99/x
  3. Step 3: Cross multiply
    266.81x = 398.31 × 254.99
  4. Step 4: Simplify right side
    266.81x = 101,563.79
  5. Step 5: Solve for x
    x = 101,563.79/266.81
  6. Step 6: Final answer
    x = 380.66

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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.