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Finding the Fourth Proportional to 206.23, 284.37 and 191.65

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Solution

The fourth proportional to 206.23, 284.37 and 191.65 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 284.37 = 191.65 : x
  2. Step 2: Convert to fraction form
    206.23/284.37 = 191.65/x
  3. Step 3: Cross multiply
    206.23x = 284.37 × 191.65
  4. Step 4: Simplify right side
    206.23x = 54,499.51
  5. Step 5: Solve for x
    x = 54,499.51/206.23
  6. Step 6: Final answer
    x = 264.27

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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.