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Finding the Fourth Proportional to 660.77, 991.17 and 173.87

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Solution

The fourth proportional to 660.77, 991.17 and 173.87 is: 260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.77 : 991.17 = 173.87 : x
  2. Step 2: Convert to fraction form
    660.77/991.17 = 173.87/x
  3. Step 3: Cross multiply
    660.77x = 991.17 × 173.87
  4. Step 4: Simplify right side
    660.77x = 172,336.55
  5. Step 5: Solve for x
    x = 172,336.55/660.77
  6. Step 6: Final answer
    x = 260.81

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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.