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Finding the Fourth Proportional to 235.12, 324.30 and 166

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Solution

The fourth proportional to 235.12, 324.30 and 166 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.12 : 324.30 = 166 : x
  2. Step 2: Convert to fraction form
    235.12/324.30 = 166/x
  3. Step 3: Cross multiply
    235.12x = 324.30 × 166
  4. Step 4: Simplify right side
    235.12x = 53,833.80
  5. Step 5: Solve for x
    x = 53,833.80/235.12
  6. Step 6: Final answer
    x = 228.96

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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.