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Finding the Fourth Proportional to 217.15, 299.85 and 177.28

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Solution

The fourth proportional to 217.15, 299.85 and 177.28 is: 244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.15 : 299.85 = 177.28 : x
  2. Step 2: Convert to fraction form
    217.15/299.85 = 177.28/x
  3. Step 3: Cross multiply
    217.15x = 299.85 × 177.28
  4. Step 4: Simplify right side
    217.15x = 53,157.41
  5. Step 5: Solve for x
    x = 53,157.41/217.15
  6. Step 6: Final answer
    x = 244.80

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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.