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Finding the Fourth Proportional to 265.97, 366.92 and 167.78

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Solution

The fourth proportional to 265.97, 366.92 and 167.78 is: 231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 366.92 = 167.78 : x
  2. Step 2: Convert to fraction form
    265.97/366.92 = 167.78/x
  3. Step 3: Cross multiply
    265.97x = 366.92 × 167.78
  4. Step 4: Simplify right side
    265.97x = 61,561.00
  5. Step 5: Solve for x
    x = 61,561.00/265.97
  6. Step 6: Final answer
    x = 231.46

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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.