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Finding the Fourth Proportional to 204.59, 282.33 and 138.98

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Solution

The fourth proportional to 204.59, 282.33 and 138.98 is: 191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.59 : 282.33 = 138.98 : x
  2. Step 2: Convert to fraction form
    204.59/282.33 = 138.98/x
  3. Step 3: Cross multiply
    204.59x = 282.33 × 138.98
  4. Step 4: Simplify right side
    204.59x = 39,236.81
  5. Step 5: Solve for x
    x = 39,236.81/204.59
  6. Step 6: Final answer
    x = 191.79

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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.