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Finding the Fourth Proportional to 216.28, 298.32 and 142.66

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Solution

The fourth proportional to 216.28, 298.32 and 142.66 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.28 : 298.32 = 142.66 : x
  2. Step 2: Convert to fraction form
    216.28/298.32 = 142.66/x
  3. Step 3: Cross multiply
    216.28x = 298.32 × 142.66
  4. Step 4: Simplify right side
    216.28x = 42,558.33
  5. Step 5: Solve for x
    x = 42,558.33/216.28
  6. Step 6: Final answer
    x = 196.77

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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.