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Finding the Fourth Proportional to 245.38, 338.75 and 167.11

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Solution

The fourth proportional to 245.38, 338.75 and 167.11 is: 230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.38 : 338.75 = 167.11 : x
  2. Step 2: Convert to fraction form
    245.38/338.75 = 167.11/x
  3. Step 3: Cross multiply
    245.38x = 338.75 × 167.11
  4. Step 4: Simplify right side
    245.38x = 56,608.51
  5. Step 5: Solve for x
    x = 56,608.51/245.38
  6. Step 6: Final answer
    x = 230.70

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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.