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Finding the Fourth Proportional to 206.58, 284.37 and 164.82

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Solution

The fourth proportional to 206.58, 284.37 and 164.82 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.58 : 284.37 = 164.82 : x
  2. Step 2: Convert to fraction form
    206.58/284.37 = 164.82/x
  3. Step 3: Cross multiply
    206.58x = 284.37 × 164.82
  4. Step 4: Simplify right side
    206.58x = 46,869.86
  5. Step 5: Solve for x
    x = 46,869.86/206.58
  6. Step 6: Final answer
    x = 226.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.