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Finding the Fourth Proportional to 177.75, 266.33 and 137.05

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Solution

The fourth proportional to 177.75, 266.33 and 137.05 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 266.33 = 137.05 : x
  2. Step 2: Convert to fraction form
    177.75/266.33 = 137.05/x
  3. Step 3: Cross multiply
    177.75x = 266.33 × 137.05
  4. Step 4: Simplify right side
    177.75x = 36,500.20
  5. Step 5: Solve for x
    x = 36,500.20/177.75
  6. Step 6: Final answer
    x = 205.35

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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.