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Finding the Fourth Proportional to 465.97, 698.54 and 177.61

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Solution

The fourth proportional to 465.97, 698.54 and 177.61 is: 266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.97 : 698.54 = 177.61 : x
  2. Step 2: Convert to fraction form
    465.97/698.54 = 177.61/x
  3. Step 3: Cross multiply
    465.97x = 698.54 × 177.61
  4. Step 4: Simplify right side
    465.97x = 124,067.69
  5. Step 5: Solve for x
    x = 124,067.69/465.97
  6. Step 6: Final answer
    x = 266.26

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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.