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Finding the Fourth Proportional to 245.54, 338.52 and 167.78

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Solution

The fourth proportional to 245.54, 338.52 and 167.78 is: 231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 338.52 = 167.78 : x
  2. Step 2: Convert to fraction form
    245.54/338.52 = 167.78/x
  3. Step 3: Cross multiply
    245.54x = 338.52 × 167.78
  4. Step 4: Simplify right side
    245.54x = 56,796.89
  5. Step 5: Solve for x
    x = 56,796.89/245.54
  6. Step 6: Final answer
    x = 231.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.