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Finding the Fourth Proportional to 206.32, 284.50 and 162.16

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Solution

The fourth proportional to 206.32, 284.50 and 162.16 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 284.50 = 162.16 : x
  2. Step 2: Convert to fraction form
    206.32/284.50 = 162.16/x
  3. Step 3: Cross multiply
    206.32x = 284.50 × 162.16
  4. Step 4: Simplify right side
    206.32x = 46,134.52
  5. Step 5: Solve for x
    x = 46,134.52/206.32
  6. Step 6: Final answer
    x = 223.61

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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.