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Finding the Fourth Proportional to 326.76, 489.98 and 144.08

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Solution

The fourth proportional to 326.76, 489.98 and 144.08 is: 216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.76 : 489.98 = 144.08 : x
  2. Step 2: Convert to fraction form
    326.76/489.98 = 144.08/x
  3. Step 3: Cross multiply
    326.76x = 489.98 × 144.08
  4. Step 4: Simplify right side
    326.76x = 70,593.15
  5. Step 5: Solve for x
    x = 70,593.15/326.76
  6. Step 6: Final answer
    x = 216.04

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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.