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Finding the Fourth Proportional to 167.28, 229.44 and 152.88

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Solution

The fourth proportional to 167.28, 229.44 and 152.88 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.28 : 229.44 = 152.88 : x
  2. Step 2: Convert to fraction form
    167.28/229.44 = 152.88/x
  3. Step 3: Cross multiply
    167.28x = 229.44 × 152.88
  4. Step 4: Simplify right side
    167.28x = 35,076.79
  5. Step 5: Solve for x
    x = 35,076.79/167.28
  6. Step 6: Final answer
    x = 209.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.