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Finding the Fourth Proportional to 297.78, 444.94 and 236.27

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Solution

The fourth proportional to 297.78, 444.94 and 236.27 is: 353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 444.94 = 236.27 : x
  2. Step 2: Convert to fraction form
    297.78/444.94 = 236.27/x
  3. Step 3: Cross multiply
    297.78x = 444.94 × 236.27
  4. Step 4: Simplify right side
    297.78x = 105,125.32
  5. Step 5: Solve for x
    x = 105,125.32/297.78
  6. Step 6: Final answer
    x = 353.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.