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Finding the Fourth Proportional to 243.96, 365.73 and 157.05

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Solution

The fourth proportional to 243.96, 365.73 and 157.05 is: 235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.96 : 365.73 = 157.05 : x
  2. Step 2: Convert to fraction form
    243.96/365.73 = 157.05/x
  3. Step 3: Cross multiply
    243.96x = 365.73 × 157.05
  4. Step 4: Simplify right side
    243.96x = 57,437.90
  5. Step 5: Solve for x
    x = 57,437.90/243.96
  6. Step 6: Final answer
    x = 235.44

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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.