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Finding the Fourth Proportional to 206.21, 284.56 and 112.95

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Solution

The fourth proportional to 206.21, 284.56 and 112.95 is: 155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 284.56 = 112.95 : x
  2. Step 2: Convert to fraction form
    206.21/284.56 = 112.95/x
  3. Step 3: Cross multiply
    206.21x = 284.56 × 112.95
  4. Step 4: Simplify right side
    206.21x = 32,140.19
  5. Step 5: Solve for x
    x = 32,140.19/206.21
  6. Step 6: Final answer
    x = 155.86

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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.