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Finding the Fourth Proportional to 326.49, 489.80 and 110.02

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Solution

The fourth proportional to 326.49, 489.80 and 110.02 is: 165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.49 : 489.80 = 110.02 : x
  2. Step 2: Convert to fraction form
    326.49/489.80 = 110.02/x
  3. Step 3: Cross multiply
    326.49x = 489.80 × 110.02
  4. Step 4: Simplify right side
    326.49x = 53,886.02
  5. Step 5: Solve for x
    x = 53,886.02/326.49
  6. Step 6: Final answer
    x = 165.05

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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.