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Finding the Fourth Proportional to 326.68, 490.14 and 143.98

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Solution

The fourth proportional to 326.68, 490.14 and 143.98 is: 216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.68 : 490.14 = 143.98 : x
  2. Step 2: Convert to fraction form
    326.68/490.14 = 143.98/x
  3. Step 3: Cross multiply
    326.68x = 490.14 × 143.98
  4. Step 4: Simplify right side
    326.68x = 70,570.36
  5. Step 5: Solve for x
    x = 70,570.36/326.68
  6. Step 6: Final answer
    x = 216.02

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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.