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Finding the Fourth Proportional to 263.82, 364.13 and 159

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Solution

The fourth proportional to 263.82, 364.13 and 159 is: 219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.82 : 364.13 = 159 : x
  2. Step 2: Convert to fraction form
    263.82/364.13 = 159/x
  3. Step 3: Cross multiply
    263.82x = 364.13 × 159
  4. Step 4: Simplify right side
    263.82x = 57,896.67
  5. Step 5: Solve for x
    x = 57,896.67/263.82
  6. Step 6: Final answer
    x = 219.46

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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.