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Finding the Fourth Proportional to 206.95, 310.04 and 129.86

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Solution

The fourth proportional to 206.95, 310.04 and 129.86 is: 194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.95 : 310.04 = 129.86 : x
  2. Step 2: Convert to fraction form
    206.95/310.04 = 129.86/x
  3. Step 3: Cross multiply
    206.95x = 310.04 × 129.86
  4. Step 4: Simplify right side
    206.95x = 40,262.41
  5. Step 5: Solve for x
    x = 40,262.41/206.95
  6. Step 6: Final answer
    x = 194.55

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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.