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Finding the Fourth Proportional to 175.57, 263.35 and 149.71

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Solution

The fourth proportional to 175.57, 263.35 and 149.71 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.57 : 263.35 = 149.71 : x
  2. Step 2: Convert to fraction form
    175.57/263.35 = 149.71/x
  3. Step 3: Cross multiply
    175.57x = 263.35 × 149.71
  4. Step 4: Simplify right side
    175.57x = 39,426.13
  5. Step 5: Solve for x
    x = 39,426.13/175.57
  6. Step 6: Final answer
    x = 224.56

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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.