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Finding the Fourth Proportional to 252.10, 378.18 and 123.82

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Solution

The fourth proportional to 252.10, 378.18 and 123.82 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.10 : 378.18 = 123.82 : x
  2. Step 2: Convert to fraction form
    252.10/378.18 = 123.82/x
  3. Step 3: Cross multiply
    252.10x = 378.18 × 123.82
  4. Step 4: Simplify right side
    252.10x = 46,825.30
  5. Step 5: Solve for x
    x = 46,825.30/252.10
  6. Step 6: Final answer
    x = 185.74

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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.