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Finding the Fourth Proportional to 171.23, 236.30 and 120.77

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Solution

The fourth proportional to 171.23, 236.30 and 120.77 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.23 : 236.30 = 120.77 : x
  2. Step 2: Convert to fraction form
    171.23/236.30 = 120.77/x
  3. Step 3: Cross multiply
    171.23x = 236.30 × 120.77
  4. Step 4: Simplify right side
    171.23x = 28,537.95
  5. Step 5: Solve for x
    x = 28,537.95/171.23
  6. Step 6: Final answer
    x = 166.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.