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Finding the Fourth Proportional to 206.14, 308.58 and 137.50

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Solution

The fourth proportional to 206.14, 308.58 and 137.50 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.14 : 308.58 = 137.50 : x
  2. Step 2: Convert to fraction form
    206.14/308.58 = 137.50/x
  3. Step 3: Cross multiply
    206.14x = 308.58 × 137.50
  4. Step 4: Simplify right side
    206.14x = 42,429.75
  5. Step 5: Solve for x
    x = 42,429.75/206.14
  6. Step 6: Final answer
    x = 205.83

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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.