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Finding the Fourth Proportional to 443.64, 665.49 and 119

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Solution

The fourth proportional to 443.64, 665.49 and 119 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 665.49 = 119 : x
  2. Step 2: Convert to fraction form
    443.64/665.49 = 119/x
  3. Step 3: Cross multiply
    443.64x = 665.49 × 119
  4. Step 4: Simplify right side
    443.64x = 79,193.31
  5. Step 5: Solve for x
    x = 79,193.31/443.64
  6. Step 6: Final answer
    x = 178.51

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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.