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Finding the Fourth Proportional to 204.86, 282.76 and 139.46

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Solution

The fourth proportional to 204.86, 282.76 and 139.46 is: 192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 282.76 = 139.46 : x
  2. Step 2: Convert to fraction form
    204.86/282.76 = 139.46/x
  3. Step 3: Cross multiply
    204.86x = 282.76 × 139.46
  4. Step 4: Simplify right side
    204.86x = 39,431.95
  5. Step 5: Solve for x
    x = 39,431.95/204.86
  6. Step 6: Final answer
    x = 192.48

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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.