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Finding the Fourth Proportional to 206.23, 310.07 and 190.39

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Solution

The fourth proportional to 206.23, 310.07 and 190.39 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 310.07 = 190.39 : x
  2. Step 2: Convert to fraction form
    206.23/310.07 = 190.39/x
  3. Step 3: Cross multiply
    206.23x = 310.07 × 190.39
  4. Step 4: Simplify right side
    206.23x = 59,034.23
  5. Step 5: Solve for x
    x = 59,034.23/206.23
  6. Step 6: Final answer
    x = 286.25

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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.