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Finding the Fourth Proportional to 178.96, 246.81 and 120.64

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Solution

The fourth proportional to 178.96, 246.81 and 120.64 is: 166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 246.81 = 120.64 : x
  2. Step 2: Convert to fraction form
    178.96/246.81 = 120.64/x
  3. Step 3: Cross multiply
    178.96x = 246.81 × 120.64
  4. Step 4: Simplify right side
    178.96x = 29,775.16
  5. Step 5: Solve for x
    x = 29,775.16/178.96
  6. Step 6: Final answer
    x = 166.38

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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.