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Finding the Fourth Proportional to 461.08, 691.69 and 136.41

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Solution

The fourth proportional to 461.08, 691.69 and 136.41 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 691.69 = 136.41 : x
  2. Step 2: Convert to fraction form
    461.08/691.69 = 136.41/x
  3. Step 3: Cross multiply
    461.08x = 691.69 × 136.41
  4. Step 4: Simplify right side
    461.08x = 94,353.43
  5. Step 5: Solve for x
    x = 94,353.43/461.08
  6. Step 6: Final answer
    x = 204.64

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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.