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Finding the Fourth Proportional to 171.98, 258.05 and 120.50

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Solution

The fourth proportional to 171.98, 258.05 and 120.50 is: 180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.98 : 258.05 = 120.50 : x
  2. Step 2: Convert to fraction form
    171.98/258.05 = 120.50/x
  3. Step 3: Cross multiply
    171.98x = 258.05 × 120.50
  4. Step 4: Simplify right side
    171.98x = 31,095.03
  5. Step 5: Solve for x
    x = 31,095.03/171.98
  6. Step 6: Final answer
    x = 180.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.