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Finding the Fourth Proportional to 263.60, 394.80 and 166.40

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Solution

The fourth proportional to 263.60, 394.80 and 166.40 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 394.80 = 166.40 : x
  2. Step 2: Convert to fraction form
    263.60/394.80 = 166.40/x
  3. Step 3: Cross multiply
    263.60x = 394.80 × 166.40
  4. Step 4: Simplify right side
    263.60x = 65,694.72
  5. Step 5: Solve for x
    x = 65,694.72/263.60
  6. Step 6: Final answer
    x = 249.22

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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.