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Finding the Fourth Proportional to 245.97, 368.31 and 168.82

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Solution

The fourth proportional to 245.97, 368.31 and 168.82 is: 252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.97 : 368.31 = 168.82 : x
  2. Step 2: Convert to fraction form
    245.97/368.31 = 168.82/x
  3. Step 3: Cross multiply
    245.97x = 368.31 × 168.82
  4. Step 4: Simplify right side
    245.97x = 62,178.09
  5. Step 5: Solve for x
    x = 62,178.09/245.97
  6. Step 6: Final answer
    x = 252.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.