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Finding the Fourth Proportional to 206.63, 285.16 and 113.39

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Solution

The fourth proportional to 206.63, 285.16 and 113.39 is: 156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.63 : 285.16 = 113.39 : x
  2. Step 2: Convert to fraction form
    206.63/285.16 = 113.39/x
  3. Step 3: Cross multiply
    206.63x = 285.16 × 113.39
  4. Step 4: Simplify right side
    206.63x = 32,335.83
  5. Step 5: Solve for x
    x = 32,335.83/206.63
  6. Step 6: Final answer
    x = 156.49

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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.