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Finding the Fourth Proportional to 489.83, 734.86 and 165.22

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Solution

The fourth proportional to 489.83, 734.86 and 165.22 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.83 : 734.86 = 165.22 : x
  2. Step 2: Convert to fraction form
    489.83/734.86 = 165.22/x
  3. Step 3: Cross multiply
    489.83x = 734.86 × 165.22
  4. Step 4: Simplify right side
    489.83x = 121,413.57
  5. Step 5: Solve for x
    x = 121,413.57/489.83
  6. Step 6: Final answer
    x = 247.87

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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.