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Finding the Fourth Proportional to 303.81, 455.96 and 121.33

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Solution

The fourth proportional to 303.81, 455.96 and 121.33 is: 182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.81 : 455.96 = 121.33 : x
  2. Step 2: Convert to fraction form
    303.81/455.96 = 121.33/x
  3. Step 3: Cross multiply
    303.81x = 455.96 × 121.33
  4. Step 4: Simplify right side
    303.81x = 55,321.63
  5. Step 5: Solve for x
    x = 55,321.63/303.81
  6. Step 6: Final answer
    x = 182.09

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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.