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Finding the Fourth Proportional to 307.82, 461.92 and 125.18

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Solution

The fourth proportional to 307.82, 461.92 and 125.18 is: 187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 461.92 = 125.18 : x
  2. Step 2: Convert to fraction form
    307.82/461.92 = 125.18/x
  3. Step 3: Cross multiply
    307.82x = 461.92 × 125.18
  4. Step 4: Simplify right side
    307.82x = 57,823.15
  5. Step 5: Solve for x
    x = 57,823.15/307.82
  6. Step 6: Final answer
    x = 187.85

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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.