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Finding the Fourth Proportional to 615.17, 922.38 and 204.20

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Solution

The fourth proportional to 615.17, 922.38 and 204.20 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.17 : 922.38 = 204.20 : x
  2. Step 2: Convert to fraction form
    615.17/922.38 = 204.20/x
  3. Step 3: Cross multiply
    615.17x = 922.38 × 204.20
  4. Step 4: Simplify right side
    615.17x = 188,351.54
  5. Step 5: Solve for x
    x = 188,351.54/615.17
  6. Step 6: Final answer
    x = 306.18

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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.