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Finding the Fourth Proportional to 235.92, 325.44 and 166.08

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Solution

The fourth proportional to 235.92, 325.44 and 166.08 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.92 : 325.44 = 166.08 : x
  2. Step 2: Convert to fraction form
    235.92/325.44 = 166.08/x
  3. Step 3: Cross multiply
    235.92x = 325.44 × 166.08
  4. Step 4: Simplify right side
    235.92x = 54,049.08
  5. Step 5: Solve for x
    x = 54,049.08/235.92
  6. Step 6: Final answer
    x = 229.10

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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.