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Finding the Fourth Proportional to 177.67, 245.27 and 138.24

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Solution

The fourth proportional to 177.67, 245.27 and 138.24 is: 190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 245.27 = 138.24 : x
  2. Step 2: Convert to fraction form
    177.67/245.27 = 138.24/x
  3. Step 3: Cross multiply
    177.67x = 245.27 × 138.24
  4. Step 4: Simplify right side
    177.67x = 33,906.12
  5. Step 5: Solve for x
    x = 33,906.12/177.67
  6. Step 6: Final answer
    x = 190.84

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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.