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Finding the Fourth Proportional to 308.75, 462.96 and 126.10

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Solution

The fourth proportional to 308.75, 462.96 and 126.10 is: 189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 462.96 = 126.10 : x
  2. Step 2: Convert to fraction form
    308.75/462.96 = 126.10/x
  3. Step 3: Cross multiply
    308.75x = 462.96 × 126.10
  4. Step 4: Simplify right side
    308.75x = 58,379.26
  5. Step 5: Solve for x
    x = 58,379.26/308.75
  6. Step 6: Final answer
    x = 189.08

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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.