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Finding the Fourth Proportional to 443.24, 664.86 and 154.76

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Solution

The fourth proportional to 443.24, 664.86 and 154.76 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 664.86 = 154.76 : x
  2. Step 2: Convert to fraction form
    443.24/664.86 = 154.76/x
  3. Step 3: Cross multiply
    443.24x = 664.86 × 154.76
  4. Step 4: Simplify right side
    443.24x = 102,893.73
  5. Step 5: Solve for x
    x = 102,893.73/443.24
  6. Step 6: Final answer
    x = 232.14

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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.