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Finding the Fourth Proportional to 308.25, 462.38 and 91.83

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Solution

The fourth proportional to 308.25, 462.38 and 91.83 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 462.38 = 91.83 : x
  2. Step 2: Convert to fraction form
    308.25/462.38 = 91.83/x
  3. Step 3: Cross multiply
    308.25x = 462.38 × 91.83
  4. Step 4: Simplify right side
    308.25x = 42,460.36
  5. Step 5: Solve for x
    x = 42,460.36/308.25
  6. Step 6: Final answer
    x = 137.75

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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.