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Finding the Fourth Proportional to 284, 426.10 and 139.82

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Solution

The fourth proportional to 284, 426.10 and 139.82 is: 209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 426.10 = 139.82 : x
  2. Step 2: Convert to fraction form
    284/426.10 = 139.82/x
  3. Step 3: Cross multiply
    284x = 426.10 × 139.82
  4. Step 4: Simplify right side
    284x = 59,577.30
  5. Step 5: Solve for x
    x = 59,577.30/284
  6. Step 6: Final answer
    x = 209.78

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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.