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Finding the Fourth Proportional to 293.25, 439.68 and 154.47

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Solution

The fourth proportional to 293.25, 439.68 and 154.47 is: 231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 439.68 = 154.47 : x
  2. Step 2: Convert to fraction form
    293.25/439.68 = 154.47/x
  3. Step 3: Cross multiply
    293.25x = 439.68 × 154.47
  4. Step 4: Simplify right side
    293.25x = 67,917.37
  5. Step 5: Solve for x
    x = 67,917.37/293.25
  6. Step 6: Final answer
    x = 231.60

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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.