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Finding the Fourth Proportional to 217.40, 299.93 and 142.70

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Solution

The fourth proportional to 217.40, 299.93 and 142.70 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 299.93 = 142.70 : x
  2. Step 2: Convert to fraction form
    217.40/299.93 = 142.70/x
  3. Step 3: Cross multiply
    217.40x = 299.93 × 142.70
  4. Step 4: Simplify right side
    217.40x = 42,797.80
  5. Step 5: Solve for x
    x = 42,797.80/217.40
  6. Step 6: Final answer
    x = 196.87

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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.