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Finding the Fourth Proportional to 216.02, 298.23 and 142.55

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Solution

The fourth proportional to 216.02, 298.23 and 142.55 is: 196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 298.23 = 142.55 : x
  2. Step 2: Convert to fraction form
    216.02/298.23 = 142.55/x
  3. Step 3: Cross multiply
    216.02x = 298.23 × 142.55
  4. Step 4: Simplify right side
    216.02x = 42,512.69
  5. Step 5: Solve for x
    x = 42,512.69/216.02
  6. Step 6: Final answer
    x = 196.80

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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.