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Finding the Fourth Proportional to 292.08, 402.97 and 226.47

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Solution

The fourth proportional to 292.08, 402.97 and 226.47 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 402.97 = 226.47 : x
  2. Step 2: Convert to fraction form
    292.08/402.97 = 226.47/x
  3. Step 3: Cross multiply
    292.08x = 402.97 × 226.47
  4. Step 4: Simplify right side
    292.08x = 91,260.62
  5. Step 5: Solve for x
    x = 91,260.62/292.08
  6. Step 6: Final answer
    x = 312.45

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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.