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Finding the Fourth Proportional to 216.30, 323.73 and 130.86

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Solution

The fourth proportional to 216.30, 323.73 and 130.86 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.30 : 323.73 = 130.86 : x
  2. Step 2: Convert to fraction form
    216.30/323.73 = 130.86/x
  3. Step 3: Cross multiply
    216.30x = 323.73 × 130.86
  4. Step 4: Simplify right side
    216.30x = 42,363.31
  5. Step 5: Solve for x
    x = 42,363.31/216.30
  6. Step 6: Final answer
    x = 195.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.