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Finding the Fourth Proportional to 219.28, 302.40 and 167.44

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Solution

The fourth proportional to 219.28, 302.40 and 167.44 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.28 : 302.40 = 167.44 : x
  2. Step 2: Convert to fraction form
    219.28/302.40 = 167.44/x
  3. Step 3: Cross multiply
    219.28x = 302.40 × 167.44
  4. Step 4: Simplify right side
    219.28x = 50,633.86
  5. Step 5: Solve for x
    x = 50,633.86/219.28
  6. Step 6: Final answer
    x = 230.91

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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.