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Finding the Fourth Proportional to 297.26, 445.74 and 114.51

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Solution

The fourth proportional to 297.26, 445.74 and 114.51 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.26 : 445.74 = 114.51 : x
  2. Step 2: Convert to fraction form
    297.26/445.74 = 114.51/x
  3. Step 3: Cross multiply
    297.26x = 445.74 × 114.51
  4. Step 4: Simplify right side
    297.26x = 51,041.69
  5. Step 5: Solve for x
    x = 51,041.69/297.26
  6. Step 6: Final answer
    x = 171.71

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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.