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Finding the Fourth Proportional to 166.86, 231.36 and 160.08

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Solution

The fourth proportional to 166.86, 231.36 and 160.08 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 231.36 = 160.08 : x
  2. Step 2: Convert to fraction form
    166.86/231.36 = 160.08/x
  3. Step 3: Cross multiply
    166.86x = 231.36 × 160.08
  4. Step 4: Simplify right side
    166.86x = 37,034.64
  5. Step 5: Solve for x
    x = 37,034.64/166.86
  6. Step 6: Final answer
    x = 221.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.