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Finding the Fourth Proportional to 234.36, 322.92 and 219.78

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Solution

The fourth proportional to 234.36, 322.92 and 219.78 is: 302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.36 : 322.92 = 219.78 : x
  2. Step 2: Convert to fraction form
    234.36/322.92 = 219.78/x
  3. Step 3: Cross multiply
    234.36x = 322.92 × 219.78
  4. Step 4: Simplify right side
    234.36x = 70,971.36
  5. Step 5: Solve for x
    x = 70,971.36/234.36
  6. Step 6: Final answer
    x = 302.83

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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.