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Finding the Fourth Proportional to 243.30, 335.34 and 208.07

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Solution

The fourth proportional to 243.30, 335.34 and 208.07 is: 286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 335.34 = 208.07 : x
  2. Step 2: Convert to fraction form
    243.30/335.34 = 208.07/x
  3. Step 3: Cross multiply
    243.30x = 335.34 × 208.07
  4. Step 4: Simplify right side
    243.30x = 69,773.77
  5. Step 5: Solve for x
    x = 69,773.77/243.30
  6. Step 6: Final answer
    x = 286.78

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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.