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Finding the Fourth Proportional to 243.36, 364.77 and 121.73

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Solution

The fourth proportional to 243.36, 364.77 and 121.73 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.36 : 364.77 = 121.73 : x
  2. Step 2: Convert to fraction form
    243.36/364.77 = 121.73/x
  3. Step 3: Cross multiply
    243.36x = 364.77 × 121.73
  4. Step 4: Simplify right side
    243.36x = 44,401.63
  5. Step 5: Solve for x
    x = 44,401.63/243.36
  6. Step 6: Final answer
    x = 182.45

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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.