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Finding the Fourth Proportional to 656.18, 984.31 and 169.24

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Solution

The fourth proportional to 656.18, 984.31 and 169.24 is: 253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.18 : 984.31 = 169.24 : x
  2. Step 2: Convert to fraction form
    656.18/984.31 = 169.24/x
  3. Step 3: Cross multiply
    656.18x = 984.31 × 169.24
  4. Step 4: Simplify right side
    656.18x = 166,578.86
  5. Step 5: Solve for x
    x = 166,578.86/656.18
  6. Step 6: Final answer
    x = 253.86

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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.