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Finding the Fourth Proportional to 235.12, 324.36 and 157.44

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Solution

The fourth proportional to 235.12, 324.36 and 157.44 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.12 : 324.36 = 157.44 : x
  2. Step 2: Convert to fraction form
    235.12/324.36 = 157.44/x
  3. Step 3: Cross multiply
    235.12x = 324.36 × 157.44
  4. Step 4: Simplify right side
    235.12x = 51,067.24
  5. Step 5: Solve for x
    x = 51,067.24/235.12
  6. Step 6: Final answer
    x = 217.20

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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.