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Finding the Fourth Proportional to 220.86, 305.24 and 213.57

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Solution

The fourth proportional to 220.86, 305.24 and 213.57 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.86 : 305.24 = 213.57 : x
  2. Step 2: Convert to fraction form
    220.86/305.24 = 213.57/x
  3. Step 3: Cross multiply
    220.86x = 305.24 × 213.57
  4. Step 4: Simplify right side
    220.86x = 65,189.04
  5. Step 5: Solve for x
    x = 65,189.04/220.86
  6. Step 6: Final answer
    x = 295.16

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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.