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Finding the Fourth Proportional to 281.24, 421.65 and 165.41

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Solution

The fourth proportional to 281.24, 421.65 and 165.41 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 421.65 = 165.41 : x
  2. Step 2: Convert to fraction form
    281.24/421.65 = 165.41/x
  3. Step 3: Cross multiply
    281.24x = 421.65 × 165.41
  4. Step 4: Simplify right side
    281.24x = 69,743.02
  5. Step 5: Solve for x
    x = 69,743.02/281.24
  6. Step 6: Final answer
    x = 247.99

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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.