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Finding the Fourth Proportional to 217.60, 300.31 and 142.99

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Solution

The fourth proportional to 217.60, 300.31 and 142.99 is: 197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.60 : 300.31 = 142.99 : x
  2. Step 2: Convert to fraction form
    217.60/300.31 = 142.99/x
  3. Step 3: Cross multiply
    217.60x = 300.31 × 142.99
  4. Step 4: Simplify right side
    217.60x = 42,940.22
  5. Step 5: Solve for x
    x = 42,940.22/217.60
  6. Step 6: Final answer
    x = 197.34

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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.