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Finding the Fourth Proportional to 292.14, 402.93 and 226.44

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Solution

The fourth proportional to 292.14, 402.93 and 226.44 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 402.93 = 226.44 : x
  2. Step 2: Convert to fraction form
    292.14/402.93 = 226.44/x
  3. Step 3: Cross multiply
    292.14x = 402.93 × 226.44
  4. Step 4: Simplify right side
    292.14x = 91,239.47
  5. Step 5: Solve for x
    x = 91,239.47/292.14
  6. Step 6: Final answer
    x = 312.31

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