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Finding the Fourth Proportional to 303.03, 454.52 and 107.98

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Solution

The fourth proportional to 303.03, 454.52 and 107.98 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.03 : 454.52 = 107.98 : x
  2. Step 2: Convert to fraction form
    303.03/454.52 = 107.98/x
  3. Step 3: Cross multiply
    303.03x = 454.52 × 107.98
  4. Step 4: Simplify right side
    303.03x = 49,078.20
  5. Step 5: Solve for x
    x = 49,078.20/303.03
  6. Step 6: Final answer
    x = 161.96

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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.