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Finding the Fourth Proportional to 301.28, 415.52 and 184.80

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Solution

The fourth proportional to 301.28, 415.52 and 184.80 is: 254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.28 : 415.52 = 184.80 : x
  2. Step 2: Convert to fraction form
    301.28/415.52 = 184.80/x
  3. Step 3: Cross multiply
    301.28x = 415.52 × 184.80
  4. Step 4: Simplify right side
    301.28x = 76,788.10
  5. Step 5: Solve for x
    x = 76,788.10/301.28
  6. Step 6: Final answer
    x = 254.87

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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.