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Finding the Fourth Proportional to 297.28, 446.03 and 104.91

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Solution

The fourth proportional to 297.28, 446.03 and 104.91 is: 157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.28 : 446.03 = 104.91 : x
  2. Step 2: Convert to fraction form
    297.28/446.03 = 104.91/x
  3. Step 3: Cross multiply
    297.28x = 446.03 × 104.91
  4. Step 4: Simplify right side
    297.28x = 46,791.20
  5. Step 5: Solve for x
    x = 46,791.20/297.28
  6. Step 6: Final answer
    x = 157.40

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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.