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Finding the Fourth Proportional to 206.34, 308.70 and 137.28

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Solution

The fourth proportional to 206.34, 308.70 and 137.28 is: 205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 308.70 = 137.28 : x
  2. Step 2: Convert to fraction form
    206.34/308.70 = 137.28/x
  3. Step 3: Cross multiply
    206.34x = 308.70 × 137.28
  4. Step 4: Simplify right side
    206.34x = 42,378.34
  5. Step 5: Solve for x
    x = 42,378.34/206.34
  6. Step 6: Final answer
    x = 205.38

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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.