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Finding the Fourth Proportional to 206.38, 284.60 and 150.94

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Solution

The fourth proportional to 206.38, 284.60 and 150.94 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 284.60 = 150.94 : x
  2. Step 2: Convert to fraction form
    206.38/284.60 = 150.94/x
  3. Step 3: Cross multiply
    206.38x = 284.60 × 150.94
  4. Step 4: Simplify right side
    206.38x = 42,955.35
  5. Step 5: Solve for x
    x = 42,955.35/206.38
  6. Step 6: Final answer
    x = 208.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.