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Finding the Fourth Proportional to 175.80, 263.46 and 107.34

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Solution

The fourth proportional to 175.80, 263.46 and 107.34 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.80 : 263.46 = 107.34 : x
  2. Step 2: Convert to fraction form
    175.80/263.46 = 107.34/x
  3. Step 3: Cross multiply
    175.80x = 263.46 × 107.34
  4. Step 4: Simplify right side
    175.80x = 28,279.80
  5. Step 5: Solve for x
    x = 28,279.80/175.80
  6. Step 6: Final answer
    x = 160.86

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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.