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Finding the Fourth Proportional to 484.66, 727.07 and 159.96

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Solution

The fourth proportional to 484.66, 727.07 and 159.96 is: 239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.66 : 727.07 = 159.96 : x
  2. Step 2: Convert to fraction form
    484.66/727.07 = 159.96/x
  3. Step 3: Cross multiply
    484.66x = 727.07 × 159.96
  4. Step 4: Simplify right side
    484.66x = 116,302.12
  5. Step 5: Solve for x
    x = 116,302.12/484.66
  6. Step 6: Final answer
    x = 239.97

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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.