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Finding the Fourth Proportional to 293.37, 439.74 and 146.96

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Solution

The fourth proportional to 293.37, 439.74 and 146.96 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.37 : 439.74 = 146.96 : x
  2. Step 2: Convert to fraction form
    293.37/439.74 = 146.96/x
  3. Step 3: Cross multiply
    293.37x = 439.74 × 146.96
  4. Step 4: Simplify right side
    293.37x = 64,621.99
  5. Step 5: Solve for x
    x = 64,621.99/293.37
  6. Step 6: Final answer
    x = 220.27

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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.