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Finding the Fourth Proportional to 166.32, 227.86 and 160.09

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Solution

The fourth proportional to 166.32, 227.86 and 160.09 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 227.86 = 160.09 : x
  2. Step 2: Convert to fraction form
    166.32/227.86 = 160.09/x
  3. Step 3: Cross multiply
    166.32x = 227.86 × 160.09
  4. Step 4: Simplify right side
    166.32x = 36,477.81
  5. Step 5: Solve for x
    x = 36,477.81/166.32
  6. Step 6: Final answer
    x = 219.32

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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.