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Finding the Fourth Proportional to 443.65, 665.48 and 119.02

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Solution

The fourth proportional to 443.65, 665.48 and 119.02 is: 178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.65 : 665.48 = 119.02 : x
  2. Step 2: Convert to fraction form
    443.65/665.48 = 119.02/x
  3. Step 3: Cross multiply
    443.65x = 665.48 × 119.02
  4. Step 4: Simplify right side
    443.65x = 79,205.43
  5. Step 5: Solve for x
    x = 79,205.43/443.65
  6. Step 6: Final answer
    x = 178.53

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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.