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Finding the Fourth Proportional to 206.33, 284.75 and 113.08

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Solution

The fourth proportional to 206.33, 284.75 and 113.08 is: 156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.33 : 284.75 = 113.08 : x
  2. Step 2: Convert to fraction form
    206.33/284.75 = 113.08/x
  3. Step 3: Cross multiply
    206.33x = 284.75 × 113.08
  4. Step 4: Simplify right side
    206.33x = 32,200.41
  5. Step 5: Solve for x
    x = 32,200.41/206.33
  6. Step 6: Final answer
    x = 156.06

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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.