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Finding the Fourth Proportional to 167.20, 228.84 and 163.16

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Solution

The fourth proportional to 167.20, 228.84 and 163.16 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 228.84 = 163.16 : x
  2. Step 2: Convert to fraction form
    167.20/228.84 = 163.16/x
  3. Step 3: Cross multiply
    167.20x = 228.84 × 163.16
  4. Step 4: Simplify right side
    167.20x = 37,337.53
  5. Step 5: Solve for x
    x = 37,337.53/167.20
  6. Step 6: Final answer
    x = 223.31

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Why These Related Problems?

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