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Finding the Fourth Proportional to 219.22, 302.24 and 189.61

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Solution

The fourth proportional to 219.22, 302.24 and 189.61 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.22 : 302.24 = 189.61 : x
  2. Step 2: Convert to fraction form
    219.22/302.24 = 189.61/x
  3. Step 3: Cross multiply
    219.22x = 302.24 × 189.61
  4. Step 4: Simplify right side
    219.22x = 57,307.44
  5. Step 5: Solve for x
    x = 57,307.44/219.22
  6. Step 6: Final answer
    x = 261.42

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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.