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Finding the Fourth Proportional to 614.69, 922.10 and 203.73

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Solution

The fourth proportional to 614.69, 922.10 and 203.73 is: 305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.69 : 922.10 = 203.73 : x
  2. Step 2: Convert to fraction form
    614.69/922.10 = 203.73/x
  3. Step 3: Cross multiply
    614.69x = 922.10 × 203.73
  4. Step 4: Simplify right side
    614.69x = 187,858.41
  5. Step 5: Solve for x
    x = 187,858.41/614.69
  6. Step 6: Final answer
    x = 305.62

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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.