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Finding the Fourth Proportional to 166.08, 228.22 and 133.28

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Solution

The fourth proportional to 166.08, 228.22 and 133.28 is: 183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 228.22 = 133.28 : x
  2. Step 2: Convert to fraction form
    166.08/228.22 = 133.28/x
  3. Step 3: Cross multiply
    166.08x = 228.22 × 133.28
  4. Step 4: Simplify right side
    166.08x = 30,416.54
  5. Step 5: Solve for x
    x = 30,416.54/166.08
  6. Step 6: Final answer
    x = 183.14

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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.