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Finding the Fourth Proportional to 254.71, 351.29 and 221.90

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Solution

The fourth proportional to 254.71, 351.29 and 221.90 is: 306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.71 : 351.29 = 221.90 : x
  2. Step 2: Convert to fraction form
    254.71/351.29 = 221.90/x
  3. Step 3: Cross multiply
    254.71x = 351.29 × 221.90
  4. Step 4: Simplify right side
    254.71x = 77,950.14
  5. Step 5: Solve for x
    x = 77,950.14/254.71
  6. Step 6: Final answer
    x = 306.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.