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Finding the Fourth Proportional to 243.95, 363.99 and 238.42

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Solution

The fourth proportional to 243.95, 363.99 and 238.42 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.95 : 363.99 = 238.42 : x
  2. Step 2: Convert to fraction form
    243.95/363.99 = 238.42/x
  3. Step 3: Cross multiply
    243.95x = 363.99 × 238.42
  4. Step 4: Simplify right side
    243.95x = 86,782.50
  5. Step 5: Solve for x
    x = 86,782.50/243.95
  6. Step 6: Final answer
    x = 355.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.