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Finding the Fourth Proportional to 281.35, 422.02 and 98.75

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Solution

The fourth proportional to 281.35, 422.02 and 98.75 is: 148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.35 : 422.02 = 98.75 : x
  2. Step 2: Convert to fraction form
    281.35/422.02 = 98.75/x
  3. Step 3: Cross multiply
    281.35x = 422.02 × 98.75
  4. Step 4: Simplify right side
    281.35x = 41,674.48
  5. Step 5: Solve for x
    x = 41,674.48/281.35
  6. Step 6: Final answer
    x = 148.12

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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.