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Finding the Fourth Proportional to 298.28, 447.54 and 144.19

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Solution

The fourth proportional to 298.28, 447.54 and 144.19 is: 216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.28 : 447.54 = 144.19 : x
  2. Step 2: Convert to fraction form
    298.28/447.54 = 144.19/x
  3. Step 3: Cross multiply
    298.28x = 447.54 × 144.19
  4. Step 4: Simplify right side
    298.28x = 64,528.81
  5. Step 5: Solve for x
    x = 64,528.81/298.28
  6. Step 6: Final answer
    x = 216.33

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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.