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Finding the Fourth Proportional to 219.38, 302.56 and 160.58

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Solution

The fourth proportional to 219.38, 302.56 and 160.58 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 302.56 = 160.58 : x
  2. Step 2: Convert to fraction form
    219.38/302.56 = 160.58/x
  3. Step 3: Cross multiply
    219.38x = 302.56 × 160.58
  4. Step 4: Simplify right side
    219.38x = 48,585.44
  5. Step 5: Solve for x
    x = 48,585.44/219.38
  6. Step 6: Final answer
    x = 221.47

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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.