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Finding the Fourth Proportional to 263.97, 364.37 and 159.12

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Solution

The fourth proportional to 263.97, 364.37 and 159.12 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.97 : 364.37 = 159.12 : x
  2. Step 2: Convert to fraction form
    263.97/364.37 = 159.12/x
  3. Step 3: Cross multiply
    263.97x = 364.37 × 159.12
  4. Step 4: Simplify right side
    263.97x = 57,977.76
  5. Step 5: Solve for x
    x = 57,977.76/263.97
  6. Step 6: Final answer
    x = 219.64

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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.