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Finding the Fourth Proportional to 461.09, 691.41 and 186.95

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Solution

The fourth proportional to 461.09, 691.41 and 186.95 is: 280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.09 : 691.41 = 186.95 : x
  2. Step 2: Convert to fraction form
    461.09/691.41 = 186.95/x
  3. Step 3: Cross multiply
    461.09x = 691.41 × 186.95
  4. Step 4: Simplify right side
    461.09x = 129,259.10
  5. Step 5: Solve for x
    x = 129,259.10/461.09
  6. Step 6: Final answer
    x = 280.33

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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.