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Finding the Fourth Proportional to 443.46, 665.38 and 154.74

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Solution

The fourth proportional to 443.46, 665.38 and 154.74 is: 232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.46 : 665.38 = 154.74 : x
  2. Step 2: Convert to fraction form
    443.46/665.38 = 154.74/x
  3. Step 3: Cross multiply
    443.46x = 665.38 × 154.74
  4. Step 4: Simplify right side
    443.46x = 102,960.90
  5. Step 5: Solve for x
    x = 102,960.90/443.46
  6. Step 6: Final answer
    x = 232.18

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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.