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Finding the Fourth Proportional to 175.79, 263.86 and 118.41

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Solution

The fourth proportional to 175.79, 263.86 and 118.41 is: 177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.79 : 263.86 = 118.41 : x
  2. Step 2: Convert to fraction form
    175.79/263.86 = 118.41/x
  3. Step 3: Cross multiply
    175.79x = 263.86 × 118.41
  4. Step 4: Simplify right side
    175.79x = 31,243.86
  5. Step 5: Solve for x
    x = 31,243.86/175.79
  6. Step 6: Final answer
    x = 177.74

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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.