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Finding the Fourth Proportional to 174.54, 259.95 and 163.26

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Solution

The fourth proportional to 174.54, 259.95 and 163.26 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 259.95 = 163.26 : x
  2. Step 2: Convert to fraction form
    174.54/259.95 = 163.26/x
  3. Step 3: Cross multiply
    174.54x = 259.95 × 163.26
  4. Step 4: Simplify right side
    174.54x = 42,439.44
  5. Step 5: Solve for x
    x = 42,439.44/174.54
  6. Step 6: Final answer
    x = 243.15

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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.