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Finding the Fourth Proportional to 217.05, 299.58 and 143.37

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Solution

The fourth proportional to 217.05, 299.58 and 143.37 is: 197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.05 : 299.58 = 143.37 : x
  2. Step 2: Convert to fraction form
    217.05/299.58 = 143.37/x
  3. Step 3: Cross multiply
    217.05x = 299.58 × 143.37
  4. Step 4: Simplify right side
    217.05x = 42,950.78
  5. Step 5: Solve for x
    x = 42,950.78/217.05
  6. Step 6: Final answer
    x = 197.88

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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.