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Finding the Fourth Proportional to 175.20, 260.67 and 174.57

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Solution

The fourth proportional to 175.20, 260.67 and 174.57 is: 259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 260.67 = 174.57 : x
  2. Step 2: Convert to fraction form
    175.20/260.67 = 174.57/x
  3. Step 3: Cross multiply
    175.20x = 260.67 × 174.57
  4. Step 4: Simplify right side
    175.20x = 45,505.16
  5. Step 5: Solve for x
    x = 45,505.16/175.20
  6. Step 6: Final answer
    x = 259.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.