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Finding the Fourth Proportional to 206.50, 307.93 and 191.62

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Solution

The fourth proportional to 206.50, 307.93 and 191.62 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 307.93 = 191.62 : x
  2. Step 2: Convert to fraction form
    206.50/307.93 = 191.62/x
  3. Step 3: Cross multiply
    206.50x = 307.93 × 191.62
  4. Step 4: Simplify right side
    206.50x = 59,005.55
  5. Step 5: Solve for x
    x = 59,005.55/206.50
  6. Step 6: Final answer
    x = 285.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.