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Finding the Fourth Proportional to 263.61, 363.64 and 179.56

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Solution

The fourth proportional to 263.61, 363.64 and 179.56 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.61 : 363.64 = 179.56 : x
  2. Step 2: Convert to fraction form
    263.61/363.64 = 179.56/x
  3. Step 3: Cross multiply
    263.61x = 363.64 × 179.56
  4. Step 4: Simplify right side
    263.61x = 65,295.20
  5. Step 5: Solve for x
    x = 65,295.20/263.61
  6. Step 6: Final answer
    x = 247.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.