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Finding the Fourth Proportional to 174.06, 262.37 and 159.46

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Solution

The fourth proportional to 174.06, 262.37 and 159.46 is: 240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.06 : 262.37 = 159.46 : x
  2. Step 2: Convert to fraction form
    174.06/262.37 = 159.46/x
  3. Step 3: Cross multiply
    174.06x = 262.37 × 159.46
  4. Step 4: Simplify right side
    174.06x = 41,837.52
  5. Step 5: Solve for x
    x = 41,837.52/174.06
  6. Step 6: Final answer
    x = 240.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.