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Finding the Fourth Proportional to 235.64, 323.41 and 216.20

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Solution

The fourth proportional to 235.64, 323.41 and 216.20 is: 296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 323.41 = 216.20 : x
  2. Step 2: Convert to fraction form
    235.64/323.41 = 216.20/x
  3. Step 3: Cross multiply
    235.64x = 323.41 × 216.20
  4. Step 4: Simplify right side
    235.64x = 69,921.24
  5. Step 5: Solve for x
    x = 69,921.24/235.64
  6. Step 6: Final answer
    x = 296.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.