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Finding the Fourth Proportional to 206.15, 285.66 and 194.00

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Solution

The fourth proportional to 206.15, 285.66 and 194.00 is: 268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 285.66 = 194.00 : x
  2. Step 2: Convert to fraction form
    206.15/285.66 = 194.00/x
  3. Step 3: Cross multiply
    206.15x = 285.66 × 194.00
  4. Step 4: Simplify right side
    206.15x = 55,416.61
  5. Step 5: Solve for x
    x = 55,416.61/206.15
  6. Step 6: Final answer
    x = 268.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.