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Finding the Fourth Proportional to 166.86, 228.42 and 163.62

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Solution

The fourth proportional to 166.86, 228.42 and 163.62 is: 223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 228.42 = 163.62 : x
  2. Step 2: Convert to fraction form
    166.86/228.42 = 163.62/x
  3. Step 3: Cross multiply
    166.86x = 228.42 × 163.62
  4. Step 4: Simplify right side
    166.86x = 37,374.08
  5. Step 5: Solve for x
    x = 37,374.08/166.86
  6. Step 6: Final answer
    x = 223.98

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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.