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Finding the Fourth Proportional to 281.28, 420.48 and 195.84

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Solution

The fourth proportional to 281.28, 420.48 and 195.84 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.28 : 420.48 = 195.84 : x
  2. Step 2: Convert to fraction form
    281.28/420.48 = 195.84/x
  3. Step 3: Cross multiply
    281.28x = 420.48 × 195.84
  4. Step 4: Simplify right side
    281.28x = 82,346.80
  5. Step 5: Solve for x
    x = 82,346.80/281.28
  6. Step 6: Final answer
    x = 292.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.