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Finding the Fourth Proportional to 204.23, 281.76 and 137.93

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Solution

The fourth proportional to 204.23, 281.76 and 137.93 is: 190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.23 : 281.76 = 137.93 : x
  2. Step 2: Convert to fraction form
    204.23/281.76 = 137.93/x
  3. Step 3: Cross multiply
    204.23x = 281.76 × 137.93
  4. Step 4: Simplify right side
    204.23x = 38,862.01
  5. Step 5: Solve for x
    x = 38,862.01/204.23
  6. Step 6: Final answer
    x = 190.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.