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Finding the Fourth Proportional to 293.61, 440.37 and 149.25

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Solution

The fourth proportional to 293.61, 440.37 and 149.25 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.61 : 440.37 = 149.25 : x
  2. Step 2: Convert to fraction form
    293.61/440.37 = 149.25/x
  3. Step 3: Cross multiply
    293.61x = 440.37 × 149.25
  4. Step 4: Simplify right side
    293.61x = 65,725.22
  5. Step 5: Solve for x
    x = 65,725.22/293.61
  6. Step 6: Final answer
    x = 223.85

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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.