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Finding the Fourth Proportional to 610.82, 916.22 and 177.97

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Solution

The fourth proportional to 610.82, 916.22 and 177.97 is: 266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.82 : 916.22 = 177.97 : x
  2. Step 2: Convert to fraction form
    610.82/916.22 = 177.97/x
  3. Step 3: Cross multiply
    610.82x = 916.22 × 177.97
  4. Step 4: Simplify right side
    610.82x = 163,059.67
  5. Step 5: Solve for x
    x = 163,059.67/610.82
  6. Step 6: Final answer
    x = 266.95

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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.