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Finding the Fourth Proportional to 219.41, 302.85 and 160.43

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Solution

The fourth proportional to 219.41, 302.85 and 160.43 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.41 : 302.85 = 160.43 : x
  2. Step 2: Convert to fraction form
    219.41/302.85 = 160.43/x
  3. Step 3: Cross multiply
    219.41x = 302.85 × 160.43
  4. Step 4: Simplify right side
    219.41x = 48,586.23
  5. Step 5: Solve for x
    x = 48,586.23/219.41
  6. Step 6: Final answer
    x = 221.44

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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.