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Finding the Fourth Proportional to 298.43, 447.34 and 144.26

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Solution

The fourth proportional to 298.43, 447.34 and 144.26 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.43 : 447.34 = 144.26 : x
  2. Step 2: Convert to fraction form
    298.43/447.34 = 144.26/x
  3. Step 3: Cross multiply
    298.43x = 447.34 × 144.26
  4. Step 4: Simplify right side
    298.43x = 64,533.27
  5. Step 5: Solve for x
    x = 64,533.27/298.43
  6. Step 6: Final answer
    x = 216.24

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Why These Related Problems?

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