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Finding the Fourth Proportional to 614.26, 921.23 and 203.38

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Solution

The fourth proportional to 614.26, 921.23 and 203.38 is: 305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.26 : 921.23 = 203.38 : x
  2. Step 2: Convert to fraction form
    614.26/921.23 = 203.38/x
  3. Step 3: Cross multiply
    614.26x = 921.23 × 203.38
  4. Step 4: Simplify right side
    614.26x = 187,358.74
  5. Step 5: Solve for x
    x = 187,358.74/614.26
  6. Step 6: Final answer
    x = 305.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.