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Finding the Fourth Proportional to 204.69, 282.59 and 139.29

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Solution

The fourth proportional to 204.69, 282.59 and 139.29 is: 192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.69 : 282.59 = 139.29 : x
  2. Step 2: Convert to fraction form
    204.69/282.59 = 139.29/x
  3. Step 3: Cross multiply
    204.69x = 282.59 × 139.29
  4. Step 4: Simplify right side
    204.69x = 39,361.26
  5. Step 5: Solve for x
    x = 39,361.26/204.69
  6. Step 6: Final answer
    x = 192.30

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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.