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Finding the Fourth Proportional to 206.64, 309.86 and 84.88

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Solution

The fourth proportional to 206.64, 309.86 and 84.88 is: 127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 309.86 = 84.88 : x
  2. Step 2: Convert to fraction form
    206.64/309.86 = 84.88/x
  3. Step 3: Cross multiply
    206.64x = 309.86 × 84.88
  4. Step 4: Simplify right side
    206.64x = 26,300.92
  5. Step 5: Solve for x
    x = 26,300.92/206.64
  6. Step 6: Final answer
    x = 127.28

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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.