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Finding the Fourth Proportional to 205.83, 284.16 and 139.49

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Solution

The fourth proportional to 205.83, 284.16 and 139.49 is: 192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 284.16 = 139.49 : x
  2. Step 2: Convert to fraction form
    205.83/284.16 = 139.49/x
  3. Step 3: Cross multiply
    205.83x = 284.16 × 139.49
  4. Step 4: Simplify right side
    205.83x = 39,636.78
  5. Step 5: Solve for x
    x = 39,636.78/205.83
  6. Step 6: Final answer
    x = 192.57

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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.