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Finding the Fourth Proportional to 243.01, 363.81 and 188.95

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Solution

The fourth proportional to 243.01, 363.81 and 188.95 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.01 : 363.81 = 188.95 : x
  2. Step 2: Convert to fraction form
    243.01/363.81 = 188.95/x
  3. Step 3: Cross multiply
    243.01x = 363.81 × 188.95
  4. Step 4: Simplify right side
    243.01x = 68,741.90
  5. Step 5: Solve for x
    x = 68,741.90/243.01
  6. Step 6: Final answer
    x = 282.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.