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Finding the Fourth Proportional to 281.55, 422.46 and 166.06

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Solution

The fourth proportional to 281.55, 422.46 and 166.06 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.55 : 422.46 = 166.06 : x
  2. Step 2: Convert to fraction form
    281.55/422.46 = 166.06/x
  3. Step 3: Cross multiply
    281.55x = 422.46 × 166.06
  4. Step 4: Simplify right side
    281.55x = 70,152.65
  5. Step 5: Solve for x
    x = 70,152.65/281.55
  6. Step 6: Final answer
    x = 249.17

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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.