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Finding the Fourth Proportional to 177.14, 244.22 and 111.54

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Solution

The fourth proportional to 177.14, 244.22 and 111.54 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.14 : 244.22 = 111.54 : x
  2. Step 2: Convert to fraction form
    177.14/244.22 = 111.54/x
  3. Step 3: Cross multiply
    177.14x = 244.22 × 111.54
  4. Step 4: Simplify right side
    177.14x = 27,240.30
  5. Step 5: Solve for x
    x = 27,240.30/177.14
  6. Step 6: Final answer
    x = 153.78

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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.