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Finding the Fourth Proportional to 178.62, 246.33 and 120.39

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Solution

The fourth proportional to 178.62, 246.33 and 120.39 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 246.33 = 120.39 : x
  2. Step 2: Convert to fraction form
    178.62/246.33 = 120.39/x
  3. Step 3: Cross multiply
    178.62x = 246.33 × 120.39
  4. Step 4: Simplify right side
    178.62x = 29,655.67
  5. Step 5: Solve for x
    x = 29,655.67/178.62
  6. Step 6: Final answer
    x = 166.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.