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Finding the Fourth Proportional to 297.22, 445.88 and 102.23

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Solution

The fourth proportional to 297.22, 445.88 and 102.23 is: 153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.22 : 445.88 = 102.23 : x
  2. Step 2: Convert to fraction form
    297.22/445.88 = 102.23/x
  3. Step 3: Cross multiply
    297.22x = 445.88 × 102.23
  4. Step 4: Simplify right side
    297.22x = 45,583.68
  5. Step 5: Solve for x
    x = 45,583.68/297.22
  6. Step 6: Final answer
    x = 153.37

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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.