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Finding the Fourth Proportional to 263.68, 364 and 198.08

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Solution

The fourth proportional to 263.68, 364 and 198.08 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 364 = 198.08 : x
  2. Step 2: Convert to fraction form
    263.68/364 = 198.08/x
  3. Step 3: Cross multiply
    263.68x = 364 × 198.08
  4. Step 4: Simplify right side
    263.68x = 72,101.12
  5. Step 5: Solve for x
    x = 72,101.12/263.68
  6. Step 6: Final answer
    x = 273.44

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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.