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Finding the Fourth Proportional to 266.83, 398.29 and 254.99

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Solution

The fourth proportional to 266.83, 398.29 and 254.99 is: 380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.83 : 398.29 = 254.99 : x
  2. Step 2: Convert to fraction form
    266.83/398.29 = 254.99/x
  3. Step 3: Cross multiply
    266.83x = 398.29 × 254.99
  4. Step 4: Simplify right side
    266.83x = 101,559.97
  5. Step 5: Solve for x
    x = 101,559.97/266.83
  6. Step 6: Final answer
    x = 380.62

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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.