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Finding the Fourth Proportional to 205.92, 284.51 and 162.18

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Solution

The fourth proportional to 205.92, 284.51 and 162.18 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 284.51 = 162.18 : x
  2. Step 2: Convert to fraction form
    205.92/284.51 = 162.18/x
  3. Step 3: Cross multiply
    205.92x = 284.51 × 162.18
  4. Step 4: Simplify right side
    205.92x = 46,142.24
  5. Step 5: Solve for x
    x = 46,142.24/205.92
  6. Step 6: Final answer
    x = 224.08

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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.