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Finding the Fourth Proportional to 263.97, 364.07 and 175.29

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Solution

The fourth proportional to 263.97, 364.07 and 175.29 is: 241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.97 : 364.07 = 175.29 : x
  2. Step 2: Convert to fraction form
    263.97/364.07 = 175.29/x
  3. Step 3: Cross multiply
    263.97x = 364.07 × 175.29
  4. Step 4: Simplify right side
    263.97x = 63,817.83
  5. Step 5: Solve for x
    x = 63,817.83/263.97
  6. Step 6: Final answer
    x = 241.76

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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.