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Finding the Fourth Proportional to 606.92, 910.17 and 173.96

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Solution

The fourth proportional to 606.92, 910.17 and 173.96 is: 260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.92 : 910.17 = 173.96 : x
  2. Step 2: Convert to fraction form
    606.92/910.17 = 173.96/x
  3. Step 3: Cross multiply
    606.92x = 910.17 × 173.96
  4. Step 4: Simplify right side
    606.92x = 158,333.17
  5. Step 5: Solve for x
    x = 158,333.17/606.92
  6. Step 6: Final answer
    x = 260.88

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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.