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Finding the Fourth Proportional to 175.20, 263.21 and 121.34

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Solution

The fourth proportional to 175.20, 263.21 and 121.34 is: 182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 263.21 = 121.34 : x
  2. Step 2: Convert to fraction form
    175.20/263.21 = 121.34/x
  3. Step 3: Cross multiply
    175.20x = 263.21 × 121.34
  4. Step 4: Simplify right side
    175.20x = 31,937.90
  5. Step 5: Solve for x
    x = 31,937.90/175.20
  6. Step 6: Final answer
    x = 182.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.