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Finding the Fourth Proportional to 235.32, 324.44 and 161.64

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Solution

The fourth proportional to 235.32, 324.44 and 161.64 is: 222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.32 : 324.44 = 161.64 : x
  2. Step 2: Convert to fraction form
    235.32/324.44 = 161.64/x
  3. Step 3: Cross multiply
    235.32x = 324.44 × 161.64
  4. Step 4: Simplify right side
    235.32x = 52,442.48
  5. Step 5: Solve for x
    x = 52,442.48/235.32
  6. Step 6: Final answer
    x = 222.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.