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Finding the Fourth Proportional to 461.26, 691.77 and 164.74

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Solution

The fourth proportional to 461.26, 691.77 and 164.74 is: 247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.26 : 691.77 = 164.74 : x
  2. Step 2: Convert to fraction form
    461.26/691.77 = 164.74/x
  3. Step 3: Cross multiply
    461.26x = 691.77 × 164.74
  4. Step 4: Simplify right side
    461.26x = 113,962.19
  5. Step 5: Solve for x
    x = 113,962.19/461.26
  6. Step 6: Final answer
    x = 247.07

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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.