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Finding the Fourth Proportional to 303.54, 455.38 and 164.82

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Solution

The fourth proportional to 303.54, 455.38 and 164.82 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.54 : 455.38 = 164.82 : x
  2. Step 2: Convert to fraction form
    303.54/455.38 = 164.82/x
  3. Step 3: Cross multiply
    303.54x = 455.38 × 164.82
  4. Step 4: Simplify right side
    303.54x = 75,055.73
  5. Step 5: Solve for x
    x = 75,055.73/303.54
  6. Step 6: Final answer
    x = 247.27

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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.