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Finding the Fourth Proportional to 249.60, 374.70 and 204.02

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Solution

The fourth proportional to 249.60, 374.70 and 204.02 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.60 : 374.70 = 204.02 : x
  2. Step 2: Convert to fraction form
    249.60/374.70 = 204.02/x
  3. Step 3: Cross multiply
    249.60x = 374.70 × 204.02
  4. Step 4: Simplify right side
    249.60x = 76,446.29
  5. Step 5: Solve for x
    x = 76,446.29/249.60
  6. Step 6: Final answer
    x = 306.28

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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.