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Finding the Fourth Proportional to 234.02, 322.56 and 204.86

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Solution

The fourth proportional to 234.02, 322.56 and 204.86 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 322.56 = 204.86 : x
  2. Step 2: Convert to fraction form
    234.02/322.56 = 204.86/x
  3. Step 3: Cross multiply
    234.02x = 322.56 × 204.86
  4. Step 4: Simplify right side
    234.02x = 66,078.03
  5. Step 5: Solve for x
    x = 66,078.03/234.02
  6. Step 6: Final answer
    x = 282.37

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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.