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Finding the Fourth Proportional to 216.78, 299.16 and 142.17

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Solution

The fourth proportional to 216.78, 299.16 and 142.17 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 299.16 = 142.17 : x
  2. Step 2: Convert to fraction form
    216.78/299.16 = 142.17/x
  3. Step 3: Cross multiply
    216.78x = 299.16 × 142.17
  4. Step 4: Simplify right side
    216.78x = 42,531.58
  5. Step 5: Solve for x
    x = 42,531.58/216.78
  6. Step 6: Final answer
    x = 196.20

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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.