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Finding the Fourth Proportional to 303.28, 454.56 and 110.80

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Solution

The fourth proportional to 303.28, 454.56 and 110.80 is: 166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.28 : 454.56 = 110.80 : x
  2. Step 2: Convert to fraction form
    303.28/454.56 = 110.80/x
  3. Step 3: Cross multiply
    303.28x = 454.56 × 110.80
  4. Step 4: Simplify right side
    303.28x = 50,365.25
  5. Step 5: Solve for x
    x = 50,365.25/303.28
  6. Step 6: Final answer
    x = 166.07

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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.