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Finding the Fourth Proportional to 250.08, 344.90 and 206.34

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Solution

The fourth proportional to 250.08, 344.90 and 206.34 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.08 : 344.90 = 206.34 : x
  2. Step 2: Convert to fraction form
    250.08/344.90 = 206.34/x
  3. Step 3: Cross multiply
    250.08x = 344.90 × 206.34
  4. Step 4: Simplify right side
    250.08x = 71,166.67
  5. Step 5: Solve for x
    x = 71,166.67/250.08
  6. Step 6: Final answer
    x = 284.58

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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.