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Finding the Fourth Proportional to 218.31, 327.07 and 157.15

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Solution

The fourth proportional to 218.31, 327.07 and 157.15 is: 235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 327.07 = 157.15 : x
  2. Step 2: Convert to fraction form
    218.31/327.07 = 157.15/x
  3. Step 3: Cross multiply
    218.31x = 327.07 × 157.15
  4. Step 4: Simplify right side
    218.31x = 51,399.05
  5. Step 5: Solve for x
    x = 51,399.05/218.31
  6. Step 6: Final answer
    x = 235.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.