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Finding the Fourth Proportional to 293.62, 440.49 and 101.26

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Solution

The fourth proportional to 293.62, 440.49 and 101.26 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.62 : 440.49 = 101.26 : x
  2. Step 2: Convert to fraction form
    293.62/440.49 = 101.26/x
  3. Step 3: Cross multiply
    293.62x = 440.49 × 101.26
  4. Step 4: Simplify right side
    293.62x = 44,604.02
  5. Step 5: Solve for x
    x = 44,604.02/293.62
  6. Step 6: Final answer
    x = 151.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.