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Finding the Fourth Proportional to 281.66, 419.63 and 267.89

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Solution

The fourth proportional to 281.66, 419.63 and 267.89 is: 399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.66 : 419.63 = 267.89 : x
  2. Step 2: Convert to fraction form
    281.66/419.63 = 267.89/x
  3. Step 3: Cross multiply
    281.66x = 419.63 × 267.89
  4. Step 4: Simplify right side
    281.66x = 112,414.68
  5. Step 5: Solve for x
    x = 112,414.68/281.66
  6. Step 6: Final answer
    x = 399.11

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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.