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Finding the Fourth Proportional to 293.23, 439.45 and 190.46

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Solution

The fourth proportional to 293.23, 439.45 and 190.46 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.23 : 439.45 = 190.46 : x
  2. Step 2: Convert to fraction form
    293.23/439.45 = 190.46/x
  3. Step 3: Cross multiply
    293.23x = 439.45 × 190.46
  4. Step 4: Simplify right side
    293.23x = 83,697.65
  5. Step 5: Solve for x
    x = 83,697.65/293.23
  6. Step 6: Final answer
    x = 285.43

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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.