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Finding the Fourth Proportional to 175.22, 262.88 and 77.68

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Solution

The fourth proportional to 175.22, 262.88 and 77.68 is: 116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.22 : 262.88 = 77.68 : x
  2. Step 2: Convert to fraction form
    175.22/262.88 = 77.68/x
  3. Step 3: Cross multiply
    175.22x = 262.88 × 77.68
  4. Step 4: Simplify right side
    175.22x = 20,418.82
  5. Step 5: Solve for x
    x = 20,418.82/175.22
  6. Step 6: Final answer
    x = 116.54

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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.