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Finding the Fourth Proportional to 326.86, 489.87 and 144.01

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Solution

The fourth proportional to 326.86, 489.87 and 144.01 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.86 : 489.87 = 144.01 : x
  2. Step 2: Convert to fraction form
    326.86/489.87 = 144.01/x
  3. Step 3: Cross multiply
    326.86x = 489.87 × 144.01
  4. Step 4: Simplify right side
    326.86x = 70,546.18
  5. Step 5: Solve for x
    x = 70,546.18/326.86
  6. Step 6: Final answer
    x = 215.83

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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.