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Finding the Fourth Proportional to 206.46, 284.71 and 139.03

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Solution

The fourth proportional to 206.46, 284.71 and 139.03 is: 191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 284.71 = 139.03 : x
  2. Step 2: Convert to fraction form
    206.46/284.71 = 139.03/x
  3. Step 3: Cross multiply
    206.46x = 284.71 × 139.03
  4. Step 4: Simplify right side
    206.46x = 39,583.23
  5. Step 5: Solve for x
    x = 39,583.23/206.46
  6. Step 6: Final answer
    x = 191.72

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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.