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Finding the Fourth Proportional to 243.32, 335.39 and 206.06

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Solution

The fourth proportional to 243.32, 335.39 and 206.06 is: 284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.32 : 335.39 = 206.06 : x
  2. Step 2: Convert to fraction form
    243.32/335.39 = 206.06/x
  3. Step 3: Cross multiply
    243.32x = 335.39 × 206.06
  4. Step 4: Simplify right side
    243.32x = 69,110.27
  5. Step 5: Solve for x
    x = 69,110.27/243.32
  6. Step 6: Final answer
    x = 284.03

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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.