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Finding the Fourth Proportional to 281.12, 421.76 and 98.49

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Solution

The fourth proportional to 281.12, 421.76 and 98.49 is: 147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 421.76 = 98.49 : x
  2. Step 2: Convert to fraction form
    281.12/421.76 = 98.49/x
  3. Step 3: Cross multiply
    281.12x = 421.76 × 98.49
  4. Step 4: Simplify right side
    281.12x = 41,539.23
  5. Step 5: Solve for x
    x = 41,539.23/281.12
  6. Step 6: Final answer
    x = 147.76

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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.