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Finding the Fourth Proportional to 206.83, 310.55 and 130.28

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Solution

The fourth proportional to 206.83, 310.55 and 130.28 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 310.55 = 130.28 : x
  2. Step 2: Convert to fraction form
    206.83/310.55 = 130.28/x
  3. Step 3: Cross multiply
    206.83x = 310.55 × 130.28
  4. Step 4: Simplify right side
    206.83x = 40,458.45
  5. Step 5: Solve for x
    x = 40,458.45/206.83
  6. Step 6: Final answer
    x = 195.61

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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.