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Finding the Fourth Proportional to 302.69, 454.22 and 165.73

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Solution

The fourth proportional to 302.69, 454.22 and 165.73 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.69 : 454.22 = 165.73 : x
  2. Step 2: Convert to fraction form
    302.69/454.22 = 165.73/x
  3. Step 3: Cross multiply
    302.69x = 454.22 × 165.73
  4. Step 4: Simplify right side
    302.69x = 75,277.88
  5. Step 5: Solve for x
    x = 75,277.88/302.69
  6. Step 6: Final answer
    x = 248.70

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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.