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Finding the Fourth Proportional to 461.16, 691.75 and 200.98

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Solution

The fourth proportional to 461.16, 691.75 and 200.98 is: 301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 691.75 = 200.98 : x
  2. Step 2: Convert to fraction form
    461.16/691.75 = 200.98/x
  3. Step 3: Cross multiply
    461.16x = 691.75 × 200.98
  4. Step 4: Simplify right side
    461.16x = 139,029.03
  5. Step 5: Solve for x
    x = 139,029.03/461.16
  6. Step 6: Final answer
    x = 301.48

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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.