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Finding the Fourth Proportional to 302.97, 417.87 and 203.36

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Solution

The fourth proportional to 302.97, 417.87 and 203.36 is: 280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.97 : 417.87 = 203.36 : x
  2. Step 2: Convert to fraction form
    302.97/417.87 = 203.36/x
  3. Step 3: Cross multiply
    302.97x = 417.87 × 203.36
  4. Step 4: Simplify right side
    302.97x = 84,977.73
  5. Step 5: Solve for x
    x = 84,977.73/302.97
  6. Step 6: Final answer
    x = 280.48

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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.