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Finding the Fourth Proportional to 206.08, 284.16 and 162.56

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Solution

The fourth proportional to 206.08, 284.16 and 162.56 is: 224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 284.16 = 162.56 : x
  2. Step 2: Convert to fraction form
    206.08/284.16 = 162.56/x
  3. Step 3: Cross multiply
    206.08x = 284.16 × 162.56
  4. Step 4: Simplify right side
    206.08x = 46,193.05
  5. Step 5: Solve for x
    x = 46,193.05/206.08
  6. Step 6: Final answer
    x = 224.15

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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.