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Finding the Fourth Proportional to 251.97, 377.95 and 165.85

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Solution

The fourth proportional to 251.97, 377.95 and 165.85 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.97 : 377.95 = 165.85 : x
  2. Step 2: Convert to fraction form
    251.97/377.95 = 165.85/x
  3. Step 3: Cross multiply
    251.97x = 377.95 × 165.85
  4. Step 4: Simplify right side
    251.97x = 62,681.12
  5. Step 5: Solve for x
    x = 62,681.12/251.97
  6. Step 6: Final answer
    x = 248.77

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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.