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Finding the Fourth Proportional to 308.27, 462.38 and 102.84

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Solution

The fourth proportional to 308.27, 462.38 and 102.84 is: 154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.27 : 462.38 = 102.84 : x
  2. Step 2: Convert to fraction form
    308.27/462.38 = 102.84/x
  3. Step 3: Cross multiply
    308.27x = 462.38 × 102.84
  4. Step 4: Simplify right side
    308.27x = 47,550.65
  5. Step 5: Solve for x
    x = 47,550.65/308.27
  6. Step 6: Final answer
    x = 154.25

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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.