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Finding the Fourth Proportional to 326.43, 489.05 and 180.02

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Solution

The fourth proportional to 326.43, 489.05 and 180.02 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.43 : 489.05 = 180.02 : x
  2. Step 2: Convert to fraction form
    326.43/489.05 = 180.02/x
  3. Step 3: Cross multiply
    326.43x = 489.05 × 180.02
  4. Step 4: Simplify right side
    326.43x = 88,038.78
  5. Step 5: Solve for x
    x = 88,038.78/326.43
  6. Step 6: Final answer
    x = 269.70

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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.