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Finding the Fourth Proportional to 261.45, 391.82 and 206.69

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Solution

The fourth proportional to 261.45, 391.82 and 206.69 is: 309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 391.82 = 206.69 : x
  2. Step 2: Convert to fraction form
    261.45/391.82 = 206.69/x
  3. Step 3: Cross multiply
    261.45x = 391.82 × 206.69
  4. Step 4: Simplify right side
    261.45x = 80,982.28
  5. Step 5: Solve for x
    x = 80,982.28/261.45
  6. Step 6: Final answer
    x = 309.74

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