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Finding the Fourth Proportional to 272.27, 375.66 and 160.22

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Solution

The fourth proportional to 272.27, 375.66 and 160.22 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.27 : 375.66 = 160.22 : x
  2. Step 2: Convert to fraction form
    272.27/375.66 = 160.22/x
  3. Step 3: Cross multiply
    272.27x = 375.66 × 160.22
  4. Step 4: Simplify right side
    272.27x = 60,188.25
  5. Step 5: Solve for x
    x = 60,188.25/272.27
  6. Step 6: Final answer
    x = 221.06

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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.