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Finding the Fourth Proportional to 297.09, 445.70 and 114.48

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Solution

The fourth proportional to 297.09, 445.70 and 114.48 is: 171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 445.70 = 114.48 : x
  2. Step 2: Convert to fraction form
    297.09/445.70 = 114.48/x
  3. Step 3: Cross multiply
    297.09x = 445.70 × 114.48
  4. Step 4: Simplify right side
    297.09x = 51,023.16
  5. Step 5: Solve for x
    x = 51,023.16/297.09
  6. Step 6: Final answer
    x = 171.75

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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.