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Finding the Fourth Proportional to 494.82, 742.22 and 206.25

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Solution

The fourth proportional to 494.82, 742.22 and 206.25 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 742.22 = 206.25 : x
  2. Step 2: Convert to fraction form
    494.82/742.22 = 206.25/x
  3. Step 3: Cross multiply
    494.82x = 742.22 × 206.25
  4. Step 4: Simplify right side
    494.82x = 153,081.84
  5. Step 5: Solve for x
    x = 153,081.84/494.82
  6. Step 6: Final answer
    x = 309.37

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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.