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Finding the Fourth Proportional to 167.32, 231.24 and 160.84

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Solution

The fourth proportional to 167.32, 231.24 and 160.84 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.32 : 231.24 = 160.84 : x
  2. Step 2: Convert to fraction form
    167.32/231.24 = 160.84/x
  3. Step 3: Cross multiply
    167.32x = 231.24 × 160.84
  4. Step 4: Simplify right side
    167.32x = 37,192.64
  5. Step 5: Solve for x
    x = 37,192.64/167.32
  6. Step 6: Final answer
    x = 222.28

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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.