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Finding the Fourth Proportional to 206.04, 309.15 and 197.64

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Solution

The fourth proportional to 206.04, 309.15 and 197.64 is: 296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 309.15 = 197.64 : x
  2. Step 2: Convert to fraction form
    206.04/309.15 = 197.64/x
  3. Step 3: Cross multiply
    206.04x = 309.15 × 197.64
  4. Step 4: Simplify right side
    206.04x = 61,100.41
  5. Step 5: Solve for x
    x = 61,100.41/206.04
  6. Step 6: Final answer
    x = 296.55

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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.