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Finding the Fourth Proportional to 166.04, 229.02 and 133.37

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Solution

The fourth proportional to 166.04, 229.02 and 133.37 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 229.02 = 133.37 : x
  2. Step 2: Convert to fraction form
    166.04/229.02 = 133.37/x
  3. Step 3: Cross multiply
    166.04x = 229.02 × 133.37
  4. Step 4: Simplify right side
    166.04x = 30,543.25
  5. Step 5: Solve for x
    x = 30,543.25/166.04
  6. Step 6: Final answer
    x = 183.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.