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Finding the Fourth Proportional to 176.92, 244.10 and 111.44

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Solution

The fourth proportional to 176.92, 244.10 and 111.44 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.92 : 244.10 = 111.44 : x
  2. Step 2: Convert to fraction form
    176.92/244.10 = 111.44/x
  3. Step 3: Cross multiply
    176.92x = 244.10 × 111.44
  4. Step 4: Simplify right side
    176.92x = 27,202.50
  5. Step 5: Solve for x
    x = 27,202.50/176.92
  6. Step 6: Final answer
    x = 153.76

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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.