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Finding the Fourth Proportional to 281.14, 387.76 and 194.02

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Solution

The fourth proportional to 281.14, 387.76 and 194.02 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.14 : 387.76 = 194.02 : x
  2. Step 2: Convert to fraction form
    281.14/387.76 = 194.02/x
  3. Step 3: Cross multiply
    281.14x = 387.76 × 194.02
  4. Step 4: Simplify right side
    281.14x = 75,233.20
  5. Step 5: Solve for x
    x = 75,233.20/281.14
  6. Step 6: Final answer
    x = 267.60

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Why These Related Problems?

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