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Finding the Fourth Proportional to 174.54, 260.20 and 166.33

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Solution

The fourth proportional to 174.54, 260.20 and 166.33 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 260.20 = 166.33 : x
  2. Step 2: Convert to fraction form
    174.54/260.20 = 166.33/x
  3. Step 3: Cross multiply
    174.54x = 260.20 × 166.33
  4. Step 4: Simplify right side
    174.54x = 43,278.23
  5. Step 5: Solve for x
    x = 43,278.23/174.54
  6. Step 6: Final answer
    x = 247.96

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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.