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Finding the Fourth Proportional to 281.41, 421.54 and 165.51

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Solution

The fourth proportional to 281.41, 421.54 and 165.51 is: 247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 421.54 = 165.51 : x
  2. Step 2: Convert to fraction form
    281.41/421.54 = 165.51/x
  3. Step 3: Cross multiply
    281.41x = 421.54 × 165.51
  4. Step 4: Simplify right side
    281.41x = 69,766.98
  5. Step 5: Solve for x
    x = 69,766.98/281.41
  6. Step 6: Final answer
    x = 247.92

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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.