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Finding the Fourth Proportional to 443.87, 665.81 and 155.31

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Solution

The fourth proportional to 443.87, 665.81 and 155.31 is: 232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.87 : 665.81 = 155.31 : x
  2. Step 2: Convert to fraction form
    443.87/665.81 = 155.31/x
  3. Step 3: Cross multiply
    443.87x = 665.81 × 155.31
  4. Step 4: Simplify right side
    443.87x = 103,404.26
  5. Step 5: Solve for x
    x = 103,404.26/443.87
  6. Step 6: Final answer
    x = 232.96

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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.