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Finding the Fourth Proportional to 272.30, 375.62 and 167.42

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Solution

The fourth proportional to 272.30, 375.62 and 167.42 is: 230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.30 : 375.62 = 167.42 : x
  2. Step 2: Convert to fraction form
    272.30/375.62 = 167.42/x
  3. Step 3: Cross multiply
    272.30x = 375.62 × 167.42
  4. Step 4: Simplify right side
    272.30x = 62,886.30
  5. Step 5: Solve for x
    x = 62,886.30/272.30
  6. Step 6: Final answer
    x = 230.94

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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.