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Finding the Fourth Proportional to 206.55, 309.81 and 76.55

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Solution

The fourth proportional to 206.55, 309.81 and 76.55 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 309.81 = 76.55 : x
  2. Step 2: Convert to fraction form
    206.55/309.81 = 76.55/x
  3. Step 3: Cross multiply
    206.55x = 309.81 × 76.55
  4. Step 4: Simplify right side
    206.55x = 23,714.41
  5. Step 5: Solve for x
    x = 23,714.41/206.55
  6. Step 6: Final answer
    x = 114.81

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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.