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Finding the Fourth Proportional to 173.22, 238.59 and 160.25

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Solution

The fourth proportional to 173.22, 238.59 and 160.25 is: 220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.22 : 238.59 = 160.25 : x
  2. Step 2: Convert to fraction form
    173.22/238.59 = 160.25/x
  3. Step 3: Cross multiply
    173.22x = 238.59 × 160.25
  4. Step 4: Simplify right side
    173.22x = 38,232.85
  5. Step 5: Solve for x
    x = 38,232.85/173.22
  6. Step 6: Final answer
    x = 220.72

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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.