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Finding the Fourth Proportional to 302.75, 454.27 and 165.80

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Solution

The fourth proportional to 302.75, 454.27 and 165.80 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.75 : 454.27 = 165.80 : x
  2. Step 2: Convert to fraction form
    302.75/454.27 = 165.80/x
  3. Step 3: Cross multiply
    302.75x = 454.27 × 165.80
  4. Step 4: Simplify right side
    302.75x = 75,315.98
  5. Step 5: Solve for x
    x = 75,315.98/302.75
  6. Step 6: Final answer
    x = 248.77

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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.