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Finding the Fourth Proportional to 177.80, 244.82 and 165.85

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Solution

The fourth proportional to 177.80, 244.82 and 165.85 is: 228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 244.82 = 165.85 : x
  2. Step 2: Convert to fraction form
    177.80/244.82 = 165.85/x
  3. Step 3: Cross multiply
    177.80x = 244.82 × 165.85
  4. Step 4: Simplify right side
    177.80x = 40,603.20
  5. Step 5: Solve for x
    x = 40,603.20/177.80
  6. Step 6: Final answer
    x = 228.37

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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.