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Finding the Fourth Proportional to 263.93, 395.01 and 198.77

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Solution

The fourth proportional to 263.93, 395.01 and 198.77 is: 297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.93 : 395.01 = 198.77 : x
  2. Step 2: Convert to fraction form
    263.93/395.01 = 198.77/x
  3. Step 3: Cross multiply
    263.93x = 395.01 × 198.77
  4. Step 4: Simplify right side
    263.93x = 78,514.16
  5. Step 5: Solve for x
    x = 78,514.16/263.93
  6. Step 6: Final answer
    x = 297.49

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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.