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Finding the Fourth Proportional to 204.79, 308.40 and 186.70

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Solution

The fourth proportional to 204.79, 308.40 and 186.70 is: 281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.79 : 308.40 = 186.70 : x
  2. Step 2: Convert to fraction form
    204.79/308.40 = 186.70/x
  3. Step 3: Cross multiply
    204.79x = 308.40 × 186.70
  4. Step 4: Simplify right side
    204.79x = 57,578.28
  5. Step 5: Solve for x
    x = 57,578.28/204.79
  6. Step 6: Final answer
    x = 281.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.