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Finding the Fourth Proportional to 272.66, 376.22 and 199.04

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Solution

The fourth proportional to 272.66, 376.22 and 199.04 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.66 : 376.22 = 199.04 : x
  2. Step 2: Convert to fraction form
    272.66/376.22 = 199.04/x
  3. Step 3: Cross multiply
    272.66x = 376.22 × 199.04
  4. Step 4: Simplify right side
    272.66x = 74,882.83
  5. Step 5: Solve for x
    x = 74,882.83/272.66
  6. Step 6: Final answer
    x = 274.64

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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.