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Finding the Fourth Proportional to 206.46, 309.60 and 90.90

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Solution

The fourth proportional to 206.46, 309.60 and 90.90 is: 136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 309.60 = 90.90 : x
  2. Step 2: Convert to fraction form
    206.46/309.60 = 90.90/x
  3. Step 3: Cross multiply
    206.46x = 309.60 × 90.90
  4. Step 4: Simplify right side
    206.46x = 28,142.64
  5. Step 5: Solve for x
    x = 28,142.64/206.46
  6. Step 6: Final answer
    x = 136.31

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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.