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Finding the Fourth Proportional to 303.08, 454.83 and 120.46

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Solution

The fourth proportional to 303.08, 454.83 and 120.46 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.08 : 454.83 = 120.46 : x
  2. Step 2: Convert to fraction form
    303.08/454.83 = 120.46/x
  3. Step 3: Cross multiply
    303.08x = 454.83 × 120.46
  4. Step 4: Simplify right side
    303.08x = 54,786.55
  5. Step 5: Solve for x
    x = 54,786.55/303.08
  6. Step 6: Final answer
    x = 180.77

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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.