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Finding the Fourth Proportional to 281.14, 421.78 and 98.54

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Solution

The fourth proportional to 281.14, 421.78 and 98.54 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.14 : 421.78 = 98.54 : x
  2. Step 2: Convert to fraction form
    281.14/421.78 = 98.54/x
  3. Step 3: Cross multiply
    281.14x = 421.78 × 98.54
  4. Step 4: Simplify right side
    281.14x = 41,562.20
  5. Step 5: Solve for x
    x = 41,562.20/281.14
  6. Step 6: Final answer
    x = 147.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.