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Finding the Fourth Proportional to 462.68, 694.04 and 120.68

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Solution

The fourth proportional to 462.68, 694.04 and 120.68 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 694.04 = 120.68 : x
  2. Step 2: Convert to fraction form
    462.68/694.04 = 120.68/x
  3. Step 3: Cross multiply
    462.68x = 694.04 × 120.68
  4. Step 4: Simplify right side
    462.68x = 83,756.75
  5. Step 5: Solve for x
    x = 83,756.75/462.68
  6. Step 6: Final answer
    x = 181.03

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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.