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Finding the Fourth Proportional to 199.66, 274.56 and 159.82

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Solution

The fourth proportional to 199.66, 274.56 and 159.82 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.66 : 274.56 = 159.82 : x
  2. Step 2: Convert to fraction form
    199.66/274.56 = 159.82/x
  3. Step 3: Cross multiply
    199.66x = 274.56 × 159.82
  4. Step 4: Simplify right side
    199.66x = 43,879.49
  5. Step 5: Solve for x
    x = 43,879.49/199.66
  6. Step 6: Final answer
    x = 219.77

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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.