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Finding the Fourth Proportional to 234.23, 322.40 and 206.42

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Solution

The fourth proportional to 234.23, 322.40 and 206.42 is: 284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 322.40 = 206.42 : x
  2. Step 2: Convert to fraction form
    234.23/322.40 = 206.42/x
  3. Step 3: Cross multiply
    234.23x = 322.40 × 206.42
  4. Step 4: Simplify right side
    234.23x = 66,548.78
  5. Step 5: Solve for x
    x = 66,548.78/234.23
  6. Step 6: Final answer
    x = 284.12

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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.