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Finding the Fourth Proportional to 484.34, 726.23 and 159.68

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Solution

The fourth proportional to 484.34, 726.23 and 159.68 is: 239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.34 : 726.23 = 159.68 : x
  2. Step 2: Convert to fraction form
    484.34/726.23 = 159.68/x
  3. Step 3: Cross multiply
    484.34x = 726.23 × 159.68
  4. Step 4: Simplify right side
    484.34x = 115,964.41
  5. Step 5: Solve for x
    x = 115,964.41/484.34
  6. Step 6: Final answer
    x = 239.43

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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.