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Finding the Fourth Proportional to 302.82, 417.78 and 198.05

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Solution

The fourth proportional to 302.82, 417.78 and 198.05 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.82 : 417.78 = 198.05 : x
  2. Step 2: Convert to fraction form
    302.82/417.78 = 198.05/x
  3. Step 3: Cross multiply
    302.82x = 417.78 × 198.05
  4. Step 4: Simplify right side
    302.82x = 82,739.24
  5. Step 5: Solve for x
    x = 82,739.24/302.82
  6. Step 6: Final answer
    x = 273.23

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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.