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Finding the Fourth Proportional to 303.82, 455.71 and 121.26

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Solution

The fourth proportional to 303.82, 455.71 and 121.26 is: 181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.82 : 455.71 = 121.26 : x
  2. Step 2: Convert to fraction form
    303.82/455.71 = 121.26/x
  3. Step 3: Cross multiply
    303.82x = 455.71 × 121.26
  4. Step 4: Simplify right side
    303.82x = 55,259.13
  5. Step 5: Solve for x
    x = 55,259.13/303.82
  6. Step 6: Final answer
    x = 181.88

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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.