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Finding the Fourth Proportional to 206.57, 285.01 and 164.99

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Solution

The fourth proportional to 206.57, 285.01 and 164.99 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 285.01 = 164.99 : x
  2. Step 2: Convert to fraction form
    206.57/285.01 = 164.99/x
  3. Step 3: Cross multiply
    206.57x = 285.01 × 164.99
  4. Step 4: Simplify right side
    206.57x = 47,024.10
  5. Step 5: Solve for x
    x = 47,024.10/206.57
  6. Step 6: Final answer
    x = 227.64

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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.