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Finding the Fourth Proportional to 217.41, 299.97 and 130.05

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Solution

The fourth proportional to 217.41, 299.97 and 130.05 is: 179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.41 : 299.97 = 130.05 : x
  2. Step 2: Convert to fraction form
    217.41/299.97 = 130.05/x
  3. Step 3: Cross multiply
    217.41x = 299.97 × 130.05
  4. Step 4: Simplify right side
    217.41x = 39,011.10
  5. Step 5: Solve for x
    x = 39,011.10/217.41
  6. Step 6: Final answer
    x = 179.44

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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.