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Finding the Fourth Proportional to 206, 284.44 and 160.24

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Solution

The fourth proportional to 206, 284.44 and 160.24 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 284.44 = 160.24 : x
  2. Step 2: Convert to fraction form
    206/284.44 = 160.24/x
  3. Step 3: Cross multiply
    206x = 284.44 × 160.24
  4. Step 4: Simplify right side
    206x = 45,578.67
  5. Step 5: Solve for x
    x = 45,578.67/206
  6. Step 6: Final answer
    x = 221.26

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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.