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Finding the Fourth Proportional to 206.64, 308.43 and 189.54

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Solution

The fourth proportional to 206.64, 308.43 and 189.54 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 308.43 = 189.54 : x
  2. Step 2: Convert to fraction form
    206.64/308.43 = 189.54/x
  3. Step 3: Cross multiply
    206.64x = 308.43 × 189.54
  4. Step 4: Simplify right side
    206.64x = 58,459.82
  5. Step 5: Solve for x
    x = 58,459.82/206.64
  6. Step 6: Final answer
    x = 282.91

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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.