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Finding the Fourth Proportional to 462.66, 694.05 and 154.54

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Solution

The fourth proportional to 462.66, 694.05 and 154.54 is: 231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 694.05 = 154.54 : x
  2. Step 2: Convert to fraction form
    462.66/694.05 = 154.54/x
  3. Step 3: Cross multiply
    462.66x = 694.05 × 154.54
  4. Step 4: Simplify right side
    462.66x = 107,258.49
  5. Step 5: Solve for x
    x = 107,258.49/462.66
  6. Step 6: Final answer
    x = 231.83

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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.