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Finding the Fourth Proportional to 217.44, 299.04 and 177.80

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Solution

The fourth proportional to 217.44, 299.04 and 177.80 is: 244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 299.04 = 177.80 : x
  2. Step 2: Convert to fraction form
    217.44/299.04 = 177.80/x
  3. Step 3: Cross multiply
    217.44x = 299.04 × 177.80
  4. Step 4: Simplify right side
    217.44x = 53,169.31
  5. Step 5: Solve for x
    x = 53,169.31/217.44
  6. Step 6: Final answer
    x = 244.52

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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.