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Finding the Fourth Proportional to 177.72, 264.78 and 168.36

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Solution

The fourth proportional to 177.72, 264.78 and 168.36 is: 250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 264.78 = 168.36 : x
  2. Step 2: Convert to fraction form
    177.72/264.78 = 168.36/x
  3. Step 3: Cross multiply
    177.72x = 264.78 × 168.36
  4. Step 4: Simplify right side
    177.72x = 44,578.36
  5. Step 5: Solve for x
    x = 44,578.36/177.72
  6. Step 6: Final answer
    x = 250.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.