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Finding the Fourth Proportional to 219.61, 302.88 and 164.44

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Solution

The fourth proportional to 219.61, 302.88 and 164.44 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.61 : 302.88 = 164.44 : x
  2. Step 2: Convert to fraction form
    219.61/302.88 = 164.44/x
  3. Step 3: Cross multiply
    219.61x = 302.88 × 164.44
  4. Step 4: Simplify right side
    219.61x = 49,805.59
  5. Step 5: Solve for x
    x = 49,805.59/219.61
  6. Step 6: Final answer
    x = 226.79

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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.