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Finding the Fourth Proportional to 213.13, 294.10 and 163.93

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Solution

The fourth proportional to 213.13, 294.10 and 163.93 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.13 : 294.10 = 163.93 : x
  2. Step 2: Convert to fraction form
    213.13/294.10 = 163.93/x
  3. Step 3: Cross multiply
    213.13x = 294.10 × 163.93
  4. Step 4: Simplify right side
    213.13x = 48,211.81
  5. Step 5: Solve for x
    x = 48,211.81/213.13
  6. Step 6: Final answer
    x = 226.21

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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.