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Finding the Fourth Proportional to 243.36, 336.36 and 205.20

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Solution

The fourth proportional to 243.36, 336.36 and 205.20 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.36 : 336.36 = 205.20 : x
  2. Step 2: Convert to fraction form
    243.36/336.36 = 205.20/x
  3. Step 3: Cross multiply
    243.36x = 336.36 × 205.20
  4. Step 4: Simplify right side
    243.36x = 69,021.07
  5. Step 5: Solve for x
    x = 69,021.07/243.36
  6. Step 6: Final answer
    x = 283.62

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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.