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Finding the Fourth Proportional to 297.26, 445.59 and 142.96

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Solution

The fourth proportional to 297.26, 445.59 and 142.96 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.26 : 445.59 = 142.96 : x
  2. Step 2: Convert to fraction form
    297.26/445.59 = 142.96/x
  3. Step 3: Cross multiply
    297.26x = 445.59 × 142.96
  4. Step 4: Simplify right side
    297.26x = 63,698.60
  5. Step 5: Solve for x
    x = 63,698.60/297.26
  6. Step 6: Final answer
    x = 214.29

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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.