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Finding the Fourth Proportional to 251.74, 377.66 and 206.27

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Solution

The fourth proportional to 251.74, 377.66 and 206.27 is: 309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 377.66 = 206.27 : x
  2. Step 2: Convert to fraction form
    251.74/377.66 = 206.27/x
  3. Step 3: Cross multiply
    251.74x = 377.66 × 206.27
  4. Step 4: Simplify right side
    251.74x = 77,899.93
  5. Step 5: Solve for x
    x = 77,899.93/251.74
  6. Step 6: Final answer
    x = 309.45

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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.