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Finding the Fourth Proportional to 204.80, 305.54 and 186.44

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Solution

The fourth proportional to 204.80, 305.54 and 186.44 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 305.54 = 186.44 : x
  2. Step 2: Convert to fraction form
    204.80/305.54 = 186.44/x
  3. Step 3: Cross multiply
    204.80x = 305.54 × 186.44
  4. Step 4: Simplify right side
    204.80x = 56,964.88
  5. Step 5: Solve for x
    x = 56,964.88/204.80
  6. Step 6: Final answer
    x = 278.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.