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Finding the Fourth Proportional to 234, 322.56 and 204.72

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Solution

The fourth proportional to 234, 322.56 and 204.72 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 322.56 = 204.72 : x
  2. Step 2: Convert to fraction form
    234/322.56 = 204.72/x
  3. Step 3: Cross multiply
    234x = 322.56 × 204.72
  4. Step 4: Simplify right side
    234x = 66,034.48
  5. Step 5: Solve for x
    x = 66,034.48/234
  6. Step 6: Final answer
    x = 282.20

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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.