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Finding the Fourth Proportional to 206.94, 308.65 and 186.28

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Solution

The fourth proportional to 206.94, 308.65 and 186.28 is: 277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 308.65 = 186.28 : x
  2. Step 2: Convert to fraction form
    206.94/308.65 = 186.28/x
  3. Step 3: Cross multiply
    206.94x = 308.65 × 186.28
  4. Step 4: Simplify right side
    206.94x = 57,495.32
  5. Step 5: Solve for x
    x = 57,495.32/206.94
  6. Step 6: Final answer
    x = 277.84

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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.