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Finding the Fourth Proportional to 204.40, 306.14 and 123.40

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Solution

The fourth proportional to 204.40, 306.14 and 123.40 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 306.14 = 123.40 : x
  2. Step 2: Convert to fraction form
    204.40/306.14 = 123.40/x
  3. Step 3: Cross multiply
    204.40x = 306.14 × 123.40
  4. Step 4: Simplify right side
    204.40x = 37,777.68
  5. Step 5: Solve for x
    x = 37,777.68/204.40
  6. Step 6: Final answer
    x = 184.82

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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.