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Finding the Fourth Proportional to 243.62, 365.64 and 115.38

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Solution

The fourth proportional to 243.62, 365.64 and 115.38 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.62 : 365.64 = 115.38 : x
  2. Step 2: Convert to fraction form
    243.62/365.64 = 115.38/x
  3. Step 3: Cross multiply
    243.62x = 365.64 × 115.38
  4. Step 4: Simplify right side
    243.62x = 42,187.54
  5. Step 5: Solve for x
    x = 42,187.54/243.62
  6. Step 6: Final answer
    x = 173.17

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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.