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Finding the Fourth Proportional to 301.47, 415.97 and 183.43

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Solution

The fourth proportional to 301.47, 415.97 and 183.43 is: 253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.47 : 415.97 = 183.43 : x
  2. Step 2: Convert to fraction form
    301.47/415.97 = 183.43/x
  3. Step 3: Cross multiply
    301.47x = 415.97 × 183.43
  4. Step 4: Simplify right side
    301.47x = 76,299.30
  5. Step 5: Solve for x
    x = 76,299.30/301.47
  6. Step 6: Final answer
    x = 253.09

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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.