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Finding the Fourth Proportional to 251.97, 377.46 and 165.03

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Solution

The fourth proportional to 251.97, 377.46 and 165.03 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.97 : 377.46 = 165.03 : x
  2. Step 2: Convert to fraction form
    251.97/377.46 = 165.03/x
  3. Step 3: Cross multiply
    251.97x = 377.46 × 165.03
  4. Step 4: Simplify right side
    251.97x = 62,292.22
  5. Step 5: Solve for x
    x = 62,292.22/251.97
  6. Step 6: Final answer
    x = 247.22

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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.