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Finding the Fourth Proportional to 303.08, 454.78 and 120.48

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Solution

The fourth proportional to 303.08, 454.78 and 120.48 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.08 : 454.78 = 120.48 : x
  2. Step 2: Convert to fraction form
    303.08/454.78 = 120.48/x
  3. Step 3: Cross multiply
    303.08x = 454.78 × 120.48
  4. Step 4: Simplify right side
    303.08x = 54,791.89
  5. Step 5: Solve for x
    x = 54,791.89/303.08
  6. Step 6: Final answer
    x = 180.78

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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.