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Finding the Fourth Proportional to 175.38, 263.03 and 106.81

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Solution

The fourth proportional to 175.38, 263.03 and 106.81 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 263.03 = 106.81 : x
  2. Step 2: Convert to fraction form
    175.38/263.03 = 106.81/x
  3. Step 3: Cross multiply
    175.38x = 263.03 × 106.81
  4. Step 4: Simplify right side
    175.38x = 28,093.04
  5. Step 5: Solve for x
    x = 28,093.04/175.38
  6. Step 6: Final answer
    x = 160.18

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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.