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Finding the Fourth Proportional to 243.07, 363.82 and 151.85

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Solution

The fourth proportional to 243.07, 363.82 and 151.85 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.07 : 363.82 = 151.85 : x
  2. Step 2: Convert to fraction form
    243.07/363.82 = 151.85/x
  3. Step 3: Cross multiply
    243.07x = 363.82 × 151.85
  4. Step 4: Simplify right side
    243.07x = 55,245.31
  5. Step 5: Solve for x
    x = 55,245.31/243.07
  6. Step 6: Final answer
    x = 227.28

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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.