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Finding the Fourth Proportional to 206.37, 309.29 and 84.57

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Solution

The fourth proportional to 206.37, 309.29 and 84.57 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.37 : 309.29 = 84.57 : x
  2. Step 2: Convert to fraction form
    206.37/309.29 = 84.57/x
  3. Step 3: Cross multiply
    206.37x = 309.29 × 84.57
  4. Step 4: Simplify right side
    206.37x = 26,154.69
  5. Step 5: Solve for x
    x = 26,154.69/206.37
  6. Step 6: Final answer
    x = 126.74

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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.