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Finding the Fourth Proportional to 660.87, 991.30 and 173.92

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Solution

The fourth proportional to 660.87, 991.30 and 173.92 is: 260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.87 : 991.30 = 173.92 : x
  2. Step 2: Convert to fraction form
    660.87/991.30 = 173.92/x
  3. Step 3: Cross multiply
    660.87x = 991.30 × 173.92
  4. Step 4: Simplify right side
    660.87x = 172,406.90
  5. Step 5: Solve for x
    x = 172,406.90/660.87
  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.