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Finding the Fourth Proportional to 206.37, 309.41 and 177.82

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Solution

The fourth proportional to 206.37, 309.41 and 177.82 is: 266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.37 : 309.41 = 177.82 : x
  2. Step 2: Convert to fraction form
    206.37/309.41 = 177.82/x
  3. Step 3: Cross multiply
    206.37x = 309.41 × 177.82
  4. Step 4: Simplify right side
    206.37x = 55,018.91
  5. Step 5: Solve for x
    x = 55,018.91/206.37
  6. Step 6: Final answer
    x = 266.60

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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.