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Finding the Fourth Proportional to 326.85, 489.92 and 144.22

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Solution

The fourth proportional to 326.85, 489.92 and 144.22 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.85 : 489.92 = 144.22 : x
  2. Step 2: Convert to fraction form
    326.85/489.92 = 144.22/x
  3. Step 3: Cross multiply
    326.85x = 489.92 × 144.22
  4. Step 4: Simplify right side
    326.85x = 70,656.26
  5. Step 5: Solve for x
    x = 70,656.26/326.85
  6. Step 6: Final answer
    x = 216.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.