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Finding the Fourth Proportional to 174.16, 241.34 and 167.77

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Solution

The fourth proportional to 174.16, 241.34 and 167.77 is: 232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 241.34 = 167.77 : x
  2. Step 2: Convert to fraction form
    174.16/241.34 = 167.77/x
  3. Step 3: Cross multiply
    174.16x = 241.34 × 167.77
  4. Step 4: Simplify right side
    174.16x = 40,489.61
  5. Step 5: Solve for x
    x = 40,489.61/174.16
  6. Step 6: Final answer
    x = 232.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.