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Finding the Fourth Proportional to 281.37, 387.90 and 193.89

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Solution

The fourth proportional to 281.37, 387.90 and 193.89 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.37 : 387.90 = 193.89 : x
  2. Step 2: Convert to fraction form
    281.37/387.90 = 193.89/x
  3. Step 3: Cross multiply
    281.37x = 387.90 × 193.89
  4. Step 4: Simplify right side
    281.37x = 75,209.93
  5. Step 5: Solve for x
    x = 75,209.93/281.37
  6. Step 6: Final answer
    x = 267.30

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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.