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Finding the Fourth Proportional to 272.97, 376.66 and 160.91

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Solution

The fourth proportional to 272.97, 376.66 and 160.91 is: 222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 376.66 = 160.91 : x
  2. Step 2: Convert to fraction form
    272.97/376.66 = 160.91/x
  3. Step 3: Cross multiply
    272.97x = 376.66 × 160.91
  4. Step 4: Simplify right side
    272.97x = 60,606.08
  5. Step 5: Solve for x
    x = 60,606.08/272.97
  6. Step 6: Final answer
    x = 222.02

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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.