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Finding the Fourth Proportional to 213.32, 294.02 and 166.68

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Solution

The fourth proportional to 213.32, 294.02 and 166.68 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.32 : 294.02 = 166.68 : x
  2. Step 2: Convert to fraction form
    213.32/294.02 = 166.68/x
  3. Step 3: Cross multiply
    213.32x = 294.02 × 166.68
  4. Step 4: Simplify right side
    213.32x = 49,007.25
  5. Step 5: Solve for x
    x = 49,007.25/213.32
  6. Step 6: Final answer
    x = 229.74

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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.