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Finding the Fourth Proportional to 173.85, 240.17 and 160.89

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Solution

The fourth proportional to 173.85, 240.17 and 160.89 is: 222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.85 : 240.17 = 160.89 : x
  2. Step 2: Convert to fraction form
    173.85/240.17 = 160.89/x
  3. Step 3: Cross multiply
    173.85x = 240.17 × 160.89
  4. Step 4: Simplify right side
    173.85x = 38,640.95
  5. Step 5: Solve for x
    x = 38,640.95/173.85
  6. Step 6: Final answer
    x = 222.27

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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.