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Finding the Fourth Proportional to 281.60, 421.92 and 254.24

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Solution

The fourth proportional to 281.60, 421.92 and 254.24 is: 380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 421.92 = 254.24 : x
  2. Step 2: Convert to fraction form
    281.60/421.92 = 254.24/x
  3. Step 3: Cross multiply
    281.60x = 421.92 × 254.24
  4. Step 4: Simplify right side
    281.60x = 107,268.94
  5. Step 5: Solve for x
    x = 107,268.94/281.60
  6. Step 6: Final answer
    x = 380.93

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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.