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Finding the Fourth Proportional to 489.63, 734.55 and 165

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Solution

The fourth proportional to 489.63, 734.55 and 165 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.63 : 734.55 = 165 : x
  2. Step 2: Convert to fraction form
    489.63/734.55 = 165/x
  3. Step 3: Cross multiply
    489.63x = 734.55 × 165
  4. Step 4: Simplify right side
    489.63x = 121,200.75
  5. Step 5: Solve for x
    x = 121,200.75/489.63
  6. Step 6: Final answer
    x = 247.54

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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.