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Finding the Fourth Proportional to 344.25, 475.07 and 206.25

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Solution

The fourth proportional to 344.25, 475.07 and 206.25 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 475.07 = 206.25 : x
  2. Step 2: Convert to fraction form
    344.25/475.07 = 206.25/x
  3. Step 3: Cross multiply
    344.25x = 475.07 × 206.25
  4. Step 4: Simplify right side
    344.25x = 97,982.16
  5. Step 5: Solve for x
    x = 97,982.16/344.25
  6. Step 6: Final answer
    x = 284.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.