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Finding the Fourth Proportional to 298.34, 447.65 and 144.24

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Solution

The fourth proportional to 298.34, 447.65 and 144.24 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.34 : 447.65 = 144.24 : x
  2. Step 2: Convert to fraction form
    298.34/447.65 = 144.24/x
  3. Step 3: Cross multiply
    298.34x = 447.65 × 144.24
  4. Step 4: Simplify right side
    298.34x = 64,568.31
  5. Step 5: Solve for x
    x = 64,568.31/298.34
  6. Step 6: Final answer
    x = 216.43

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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.