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Finding the Fourth Proportional to 251.88, 377.97 and 165.00

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Solution

The fourth proportional to 251.88, 377.97 and 165.00 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.88 : 377.97 = 165.00 : x
  2. Step 2: Convert to fraction form
    251.88/377.97 = 165.00/x
  3. Step 3: Cross multiply
    251.88x = 377.97 × 165.00
  4. Step 4: Simplify right side
    251.88x = 62,365.85
  5. Step 5: Solve for x
    x = 62,365.85/251.88
  6. Step 6: Final answer
    x = 247.61

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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.