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Finding the Fourth Proportional to 263.92, 365.85 and 253.66

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Solution

The fourth proportional to 263.92, 365.85 and 253.66 is: 351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.92 : 365.85 = 253.66 : x
  2. Step 2: Convert to fraction form
    263.92/365.85 = 253.66/x
  3. Step 3: Cross multiply
    263.92x = 365.85 × 253.66
  4. Step 4: Simplify right side
    263.92x = 92,801.51
  5. Step 5: Solve for x
    x = 92,801.51/263.92
  6. Step 6: Final answer
    x = 351.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.