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Finding the Fourth Proportional to 175.39, 263.05 and 84.04

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Solution

The fourth proportional to 175.39, 263.05 and 84.04 is: 126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.39 : 263.05 = 84.04 : x
  2. Step 2: Convert to fraction form
    175.39/263.05 = 84.04/x
  3. Step 3: Cross multiply
    175.39x = 263.05 × 84.04
  4. Step 4: Simplify right side
    175.39x = 22,105.85
  5. Step 5: Solve for x
    x = 22,105.85/175.39
  6. Step 6: Final answer
    x = 126.04

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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.