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Finding the Fourth Proportional to 308.14, 462.19 and 77.03

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Solution

The fourth proportional to 308.14, 462.19 and 77.03 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.14 : 462.19 = 77.03 : x
  2. Step 2: Convert to fraction form
    308.14/462.19 = 77.03/x
  3. Step 3: Cross multiply
    308.14x = 462.19 × 77.03
  4. Step 4: Simplify right side
    308.14x = 35,599.80
  5. Step 5: Solve for x
    x = 35,599.80/308.14
  6. Step 6: Final answer
    x = 115.53

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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.