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Finding the Fourth Proportional to 204.24, 306.72 and 123.24

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Solution

The fourth proportional to 204.24, 306.72 and 123.24 is: 185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 306.72 = 123.24 : x
  2. Step 2: Convert to fraction form
    204.24/306.72 = 123.24/x
  3. Step 3: Cross multiply
    204.24x = 306.72 × 123.24
  4. Step 4: Simplify right side
    204.24x = 37,800.17
  5. Step 5: Solve for x
    x = 37,800.17/204.24
  6. Step 6: Final answer
    x = 185.08

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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.