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Finding the Fourth Proportional to 272.10, 375.47 and 161.58

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Solution

The fourth proportional to 272.10, 375.47 and 161.58 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.10 : 375.47 = 161.58 : x
  2. Step 2: Convert to fraction form
    272.10/375.47 = 161.58/x
  3. Step 3: Cross multiply
    272.10x = 375.47 × 161.58
  4. Step 4: Simplify right side
    272.10x = 60,668.44
  5. Step 5: Solve for x
    x = 60,668.44/272.10
  6. Step 6: Final answer
    x = 222.96

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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.