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Finding the Fourth Proportional to 243.44, 335.08 and 185.12

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Solution

The fourth proportional to 243.44, 335.08 and 185.12 is: 254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.44 : 335.08 = 185.12 : x
  2. Step 2: Convert to fraction form
    243.44/335.08 = 185.12/x
  3. Step 3: Cross multiply
    243.44x = 335.08 × 185.12
  4. Step 4: Simplify right side
    243.44x = 62,030.01
  5. Step 5: Solve for x
    x = 62,030.01/243.44
  6. Step 6: Final answer
    x = 254.81

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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.