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Finding the Fourth Proportional to 204.74, 306.81 and 139.74

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Solution

The fourth proportional to 204.74, 306.81 and 139.74 is: 209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.74 : 306.81 = 139.74 : x
  2. Step 2: Convert to fraction form
    204.74/306.81 = 139.74/x
  3. Step 3: Cross multiply
    204.74x = 306.81 × 139.74
  4. Step 4: Simplify right side
    204.74x = 42,873.63
  5. Step 5: Solve for x
    x = 42,873.63/204.74
  6. Step 6: Final answer
    x = 209.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.