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Finding the Fourth Proportional to 487.22, 730.73 and 178.97

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Solution

The fourth proportional to 487.22, 730.73 and 178.97 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.22 : 730.73 = 178.97 : x
  2. Step 2: Convert to fraction form
    487.22/730.73 = 178.97/x
  3. Step 3: Cross multiply
    487.22x = 730.73 × 178.97
  4. Step 4: Simplify right side
    487.22x = 130,777.37
  5. Step 5: Solve for x
    x = 130,777.37/487.22
  6. Step 6: Final answer
    x = 268.42

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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.