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Finding the Fourth Proportional to 178.72, 246.58 and 120.44

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Solution

The fourth proportional to 178.72, 246.58 and 120.44 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.72 : 246.58 = 120.44 : x
  2. Step 2: Convert to fraction form
    178.72/246.58 = 120.44/x
  3. Step 3: Cross multiply
    178.72x = 246.58 × 120.44
  4. Step 4: Simplify right side
    178.72x = 29,698.10
  5. Step 5: Solve for x
    x = 29,698.10/178.72
  6. Step 6: Final answer
    x = 166.17

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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.