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Finding the Fourth Proportional to 297.24, 445.86 and 114.60

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Solution

The fourth proportional to 297.24, 445.86 and 114.60 is: 171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 445.86 = 114.60 : x
  2. Step 2: Convert to fraction form
    297.24/445.86 = 114.60/x
  3. Step 3: Cross multiply
    297.24x = 445.86 × 114.60
  4. Step 4: Simplify right side
    297.24x = 51,095.56
  5. Step 5: Solve for x
    x = 51,095.56/297.24
  6. Step 6: Final answer
    x = 171.90

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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.