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Finding the Fourth Proportional to 216.66, 299.36 and 196.26

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Solution

The fourth proportional to 216.66, 299.36 and 196.26 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.66 : 299.36 = 196.26 : x
  2. Step 2: Convert to fraction form
    216.66/299.36 = 196.26/x
  3. Step 3: Cross multiply
    216.66x = 299.36 × 196.26
  4. Step 4: Simplify right side
    216.66x = 58,752.39
  5. Step 5: Solve for x
    x = 58,752.39/216.66
  6. Step 6: Final answer
    x = 271.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.