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Finding the Fourth Proportional to 235.19, 324.44 and 164.27

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Solution

The fourth proportional to 235.19, 324.44 and 164.27 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.19 : 324.44 = 164.27 : x
  2. Step 2: Convert to fraction form
    235.19/324.44 = 164.27/x
  3. Step 3: Cross multiply
    235.19x = 324.44 × 164.27
  4. Step 4: Simplify right side
    235.19x = 53,294.78
  5. Step 5: Solve for x
    x = 53,294.78/235.19
  6. Step 6: Final answer
    x = 226.60

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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.