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Finding the Fourth Proportional to 302.83, 417.78 and 197.96

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Solution

The fourth proportional to 302.83, 417.78 and 197.96 is: 273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.83 : 417.78 = 197.96 : x
  2. Step 2: Convert to fraction form
    302.83/417.78 = 197.96/x
  3. Step 3: Cross multiply
    302.83x = 417.78 × 197.96
  4. Step 4: Simplify right side
    302.83x = 82,703.73
  5. Step 5: Solve for x
    x = 82,703.73/302.83
  6. Step 6: Final answer
    x = 273.10

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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.