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Finding the Fourth Proportional to 216.48, 323.05 and 193.41

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Solution

The fourth proportional to 216.48, 323.05 and 193.41 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 323.05 = 193.41 : x
  2. Step 2: Convert to fraction form
    216.48/323.05 = 193.41/x
  3. Step 3: Cross multiply
    216.48x = 323.05 × 193.41
  4. Step 4: Simplify right side
    216.48x = 62,480.62
  5. Step 5: Solve for x
    x = 62,480.62/216.48
  6. Step 6: Final answer
    x = 288.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.