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Finding the Fourth Proportional to 252.28, 377.86 and 123.76

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Solution

The fourth proportional to 252.28, 377.86 and 123.76 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.28 : 377.86 = 123.76 : x
  2. Step 2: Convert to fraction form
    252.28/377.86 = 123.76/x
  3. Step 3: Cross multiply
    252.28x = 377.86 × 123.76
  4. Step 4: Simplify right side
    252.28x = 46,763.95
  5. Step 5: Solve for x
    x = 46,763.95/252.28
  6. Step 6: Final answer
    x = 185.37

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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.