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Finding the Fourth Proportional to 175.38, 262.65 and 149.55

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Solution

The fourth proportional to 175.38, 262.65 and 149.55 is: 223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 262.65 = 149.55 : x
  2. Step 2: Convert to fraction form
    175.38/262.65 = 149.55/x
  3. Step 3: Cross multiply
    175.38x = 262.65 × 149.55
  4. Step 4: Simplify right side
    175.38x = 39,279.31
  5. Step 5: Solve for x
    x = 39,279.31/175.38
  6. Step 6: Final answer
    x = 223.97

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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.