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Finding the Fourth Proportional to 443.43, 665.14 and 118.79

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Solution

The fourth proportional to 443.43, 665.14 and 118.79 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.43 : 665.14 = 118.79 : x
  2. Step 2: Convert to fraction form
    443.43/665.14 = 118.79/x
  3. Step 3: Cross multiply
    443.43x = 665.14 × 118.79
  4. Step 4: Simplify right side
    443.43x = 79,013.79
  5. Step 5: Solve for x
    x = 79,013.79/443.43
  6. Step 6: Final answer
    x = 178.19

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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.