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Finding the Fourth Proportional to 617.50, 926.36 and 206.66

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Solution

The fourth proportional to 617.50, 926.36 and 206.66 is: 310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 926.36 = 206.66 : x
  2. Step 2: Convert to fraction form
    617.50/926.36 = 206.66/x
  3. Step 3: Cross multiply
    617.50x = 926.36 × 206.66
  4. Step 4: Simplify right side
    617.50x = 191,441.56
  5. Step 5: Solve for x
    x = 191,441.56/617.50
  6. Step 6: Final answer
    x = 310.03

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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.