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Finding the Fourth Proportional to 175.26, 262.24 and 106.84

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Solution

The fourth proportional to 175.26, 262.24 and 106.84 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.26 : 262.24 = 106.84 : x
  2. Step 2: Convert to fraction form
    175.26/262.24 = 106.84/x
  3. Step 3: Cross multiply
    175.26x = 262.24 × 106.84
  4. Step 4: Simplify right side
    175.26x = 28,017.72
  5. Step 5: Solve for x
    x = 28,017.72/175.26
  6. Step 6: Final answer
    x = 159.86

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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.