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Finding the Fourth Proportional to 177.80, 266.22 and 92.12

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Solution

The fourth proportional to 177.80, 266.22 and 92.12 is: 137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 266.22 = 92.12 : x
  2. Step 2: Convert to fraction form
    177.80/266.22 = 92.12/x
  3. Step 3: Cross multiply
    177.80x = 266.22 × 92.12
  4. Step 4: Simplify right side
    177.80x = 24,524.19
  5. Step 5: Solve for x
    x = 24,524.19/177.80
  6. Step 6: Final answer
    x = 137.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.