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Finding the Fourth Proportional to 204.39, 282.22 and 139.05

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Solution

The fourth proportional to 204.39, 282.22 and 139.05 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.39 : 282.22 = 139.05 : x
  2. Step 2: Convert to fraction form
    204.39/282.22 = 139.05/x
  3. Step 3: Cross multiply
    204.39x = 282.22 × 139.05
  4. Step 4: Simplify right side
    204.39x = 39,242.34
  5. Step 5: Solve for x
    x = 39,242.34/204.39
  6. Step 6: Final answer
    x = 192.00

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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.