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Finding the Fourth Proportional to 216.80, 299.30 and 143.24

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Solution

The fourth proportional to 216.80, 299.30 and 143.24 is: 197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.80 : 299.30 = 143.24 : x
  2. Step 2: Convert to fraction form
    216.80/299.30 = 143.24/x
  3. Step 3: Cross multiply
    216.80x = 299.30 × 143.24
  4. Step 4: Simplify right side
    216.80x = 42,869.52
  5. Step 5: Solve for x
    x = 42,869.52/216.80
  6. Step 6: Final answer
    x = 197.74

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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.