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Finding the Fourth Proportional to 206.51, 309.89 and 197.69

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Solution

The fourth proportional to 206.51, 309.89 and 197.69 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 309.89 = 197.69 : x
  2. Step 2: Convert to fraction form
    206.51/309.89 = 197.69/x
  3. Step 3: Cross multiply
    206.51x = 309.89 × 197.69
  4. Step 4: Simplify right side
    206.51x = 61,261.10
  5. Step 5: Solve for x
    x = 61,261.10/206.51
  6. Step 6: Final answer
    x = 296.66

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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.