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Finding the Fourth Proportional to 462.81, 694.22 and 120.81

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Solution

The fourth proportional to 462.81, 694.22 and 120.81 is: 181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.81 : 694.22 = 120.81 : x
  2. Step 2: Convert to fraction form
    462.81/694.22 = 120.81/x
  3. Step 3: Cross multiply
    462.81x = 694.22 × 120.81
  4. Step 4: Simplify right side
    462.81x = 83,868.72
  5. Step 5: Solve for x
    x = 83,868.72/462.81
  6. Step 6: Final answer
    x = 181.22

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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.