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Finding the Fourth Proportional to 281.12, 419.79 and 229.87

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Solution

The fourth proportional to 281.12, 419.79 and 229.87 is: 343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 419.79 = 229.87 : x
  2. Step 2: Convert to fraction form
    281.12/419.79 = 229.87/x
  3. Step 3: Cross multiply
    281.12x = 419.79 × 229.87
  4. Step 4: Simplify right side
    281.12x = 96,497.13
  5. Step 5: Solve for x
    x = 96,497.13/281.12
  6. Step 6: Final answer
    x = 343.26

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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.