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Finding the Fourth Proportional to 206.52, 311.04 and 187.44

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Solution

The fourth proportional to 206.52, 311.04 and 187.44 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.52 : 311.04 = 187.44 : x
  2. Step 2: Convert to fraction form
    206.52/311.04 = 187.44/x
  3. Step 3: Cross multiply
    206.52x = 311.04 × 187.44
  4. Step 4: Simplify right side
    206.52x = 58,301.34
  5. Step 5: Solve for x
    x = 58,301.34/206.52
  6. Step 6: Final answer
    x = 282.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.