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Finding the Fourth Proportional to 307.98, 461.95 and 76.86

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Solution

The fourth proportional to 307.98, 461.95 and 76.86 is: 115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 461.95 = 76.86 : x
  2. Step 2: Convert to fraction form
    307.98/461.95 = 76.86/x
  3. Step 3: Cross multiply
    307.98x = 461.95 × 76.86
  4. Step 4: Simplify right side
    307.98x = 35,505.48
  5. Step 5: Solve for x
    x = 35,505.48/307.98
  6. Step 6: Final answer
    x = 115.29

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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.