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Finding the Fourth Proportional to 644.14, 966.20 and 205.40

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Solution

The fourth proportional to 644.14, 966.20 and 205.40 is: 308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.14 : 966.20 = 205.40 : x
  2. Step 2: Convert to fraction form
    644.14/966.20 = 205.40/x
  3. Step 3: Cross multiply
    644.14x = 966.20 × 205.40
  4. Step 4: Simplify right side
    644.14x = 198,457.48
  5. Step 5: Solve for x
    x = 198,457.48/644.14
  6. Step 6: Final answer
    x = 308.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.