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Finding the Fourth Proportional to 243.20, 335.91 and 188.21

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Solution

The fourth proportional to 243.20, 335.91 and 188.21 is: 259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 335.91 = 188.21 : x
  2. Step 2: Convert to fraction form
    243.20/335.91 = 188.21/x
  3. Step 3: Cross multiply
    243.20x = 335.91 × 188.21
  4. Step 4: Simplify right side
    243.20x = 63,219.94
  5. Step 5: Solve for x
    x = 63,219.94/243.20
  6. Step 6: Final answer
    x = 259.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.