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Finding the Fourth Proportional to 308.54, 462.83 and 125.82

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Solution

The fourth proportional to 308.54, 462.83 and 125.82 is: 188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.54 : 462.83 = 125.82 : x
  2. Step 2: Convert to fraction form
    308.54/462.83 = 125.82/x
  3. Step 3: Cross multiply
    308.54x = 462.83 × 125.82
  4. Step 4: Simplify right side
    308.54x = 58,232.64
  5. Step 5: Solve for x
    x = 58,232.64/308.54
  6. Step 6: Final answer
    x = 188.73

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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.