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Finding the Fourth Proportional to 174.26, 259.40 and 171.66

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Solution

The fourth proportional to 174.26, 259.40 and 171.66 is: 255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.26 : 259.40 = 171.66 : x
  2. Step 2: Convert to fraction form
    174.26/259.40 = 171.66/x
  3. Step 3: Cross multiply
    174.26x = 259.40 × 171.66
  4. Step 4: Simplify right side
    174.26x = 44,528.82
  5. Step 5: Solve for x
    x = 44,528.82/174.26
  6. Step 6: Final answer
    x = 255.53

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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.