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Finding the Fourth Proportional to 216.20, 298.46 and 142.63

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Solution

The fourth proportional to 216.20, 298.46 and 142.63 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.20 : 298.46 = 142.63 : x
  2. Step 2: Convert to fraction form
    216.20/298.46 = 142.63/x
  3. Step 3: Cross multiply
    216.20x = 298.46 × 142.63
  4. Step 4: Simplify right side
    216.20x = 42,569.35
  5. Step 5: Solve for x
    x = 42,569.35/216.20
  6. Step 6: Final answer
    x = 196.90

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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.