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Finding the Fourth Proportional to 325.94, 489.05 and 171.83

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Solution

The fourth proportional to 325.94, 489.05 and 171.83 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.94 : 489.05 = 171.83 : x
  2. Step 2: Convert to fraction form
    325.94/489.05 = 171.83/x
  3. Step 3: Cross multiply
    325.94x = 489.05 × 171.83
  4. Step 4: Simplify right side
    325.94x = 84,033.46
  5. Step 5: Solve for x
    x = 84,033.46/325.94
  6. Step 6: Final answer
    x = 257.82

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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.