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Finding the Fourth Proportional to 326.45, 489.27 and 144.02

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Solution

The fourth proportional to 326.45, 489.27 and 144.02 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.45 : 489.27 = 144.02 : x
  2. Step 2: Convert to fraction form
    326.45/489.27 = 144.02/x
  3. Step 3: Cross multiply
    326.45x = 489.27 × 144.02
  4. Step 4: Simplify right side
    326.45x = 70,464.67
  5. Step 5: Solve for x
    x = 70,464.67/326.45
  6. Step 6: Final answer
    x = 215.85

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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.