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Finding the Fourth Proportional to 302.94, 418.01 and 204.69

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Solution

The fourth proportional to 302.94, 418.01 and 204.69 is: 282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 418.01 = 204.69 : x
  2. Step 2: Convert to fraction form
    302.94/418.01 = 204.69/x
  3. Step 3: Cross multiply
    302.94x = 418.01 × 204.69
  4. Step 4: Simplify right side
    302.94x = 85,562.47
  5. Step 5: Solve for x
    x = 85,562.47/302.94
  6. Step 6: Final answer
    x = 282.44

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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.