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Finding the Fourth Proportional to 302.88, 453.92 and 181.28

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Solution

The fourth proportional to 302.88, 453.92 and 181.28 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.88 : 453.92 = 181.28 : x
  2. Step 2: Convert to fraction form
    302.88/453.92 = 181.28/x
  3. Step 3: Cross multiply
    302.88x = 453.92 × 181.28
  4. Step 4: Simplify right side
    302.88x = 82,286.62
  5. Step 5: Solve for x
    x = 82,286.62/302.88
  6. Step 6: Final answer
    x = 271.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.