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Finding the Fourth Proportional to 177.10, 244.77 and 163.75

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Solution

The fourth proportional to 177.10, 244.77 and 163.75 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 244.77 = 163.75 : x
  2. Step 2: Convert to fraction form
    177.10/244.77 = 163.75/x
  3. Step 3: Cross multiply
    177.10x = 244.77 × 163.75
  4. Step 4: Simplify right side
    177.10x = 40,081.09
  5. Step 5: Solve for x
    x = 40,081.09/177.10
  6. Step 6: Final answer
    x = 226.32

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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.