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Finding the Fourth Proportional to 204.31, 305.74 and 150.07

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Solution

The fourth proportional to 204.31, 305.74 and 150.07 is: 224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.31 : 305.74 = 150.07 : x
  2. Step 2: Convert to fraction form
    204.31/305.74 = 150.07/x
  3. Step 3: Cross multiply
    204.31x = 305.74 × 150.07
  4. Step 4: Simplify right side
    204.31x = 45,882.40
  5. Step 5: Solve for x
    x = 45,882.40/204.31
  6. Step 6: Final answer
    x = 224.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.