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Finding the Fourth Proportional to 297.24, 445.92 and 245.94

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Solution

The fourth proportional to 297.24, 445.92 and 245.94 is: 368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 445.92 = 245.94 : x
  2. Step 2: Convert to fraction form
    297.24/445.92 = 245.94/x
  3. Step 3: Cross multiply
    297.24x = 445.92 × 245.94
  4. Step 4: Simplify right side
    297.24x = 109,669.56
  5. Step 5: Solve for x
    x = 109,669.56/297.24
  6. Step 6: Final answer
    x = 368.96

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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.