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Finding the Fourth Proportional to 171.88, 236.98 and 120.04

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Solution

The fourth proportional to 171.88, 236.98 and 120.04 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 236.98 = 120.04 : x
  2. Step 2: Convert to fraction form
    171.88/236.98 = 120.04/x
  3. Step 3: Cross multiply
    171.88x = 236.98 × 120.04
  4. Step 4: Simplify right side
    171.88x = 28,447.08
  5. Step 5: Solve for x
    x = 28,447.08/171.88
  6. Step 6: Final answer
    x = 165.51

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