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Finding the Fourth Proportional to 166.41, 229.58 and 133.71

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Solution

The fourth proportional to 166.41, 229.58 and 133.71 is: 184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 229.58 = 133.71 : x
  2. Step 2: Convert to fraction form
    166.41/229.58 = 133.71/x
  3. Step 3: Cross multiply
    166.41x = 229.58 × 133.71
  4. Step 4: Simplify right side
    166.41x = 30,696.47
  5. Step 5: Solve for x
    x = 30,696.47/166.41
  6. Step 6: Final answer
    x = 184.46

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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.