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Finding the Fourth Proportional to 281.24, 421.38 and 167

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Solution

The fourth proportional to 281.24, 421.38 and 167 is: 250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 421.38 = 167 : x
  2. Step 2: Convert to fraction form
    281.24/421.38 = 167/x
  3. Step 3: Cross multiply
    281.24x = 421.38 × 167
  4. Step 4: Simplify right side
    281.24x = 70,370.46
  5. Step 5: Solve for x
    x = 70,370.46/281.24
  6. Step 6: Final answer
    x = 250.21

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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.