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Finding the Fourth Proportional to 489.96, 734.85 and 165.33

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Solution

The fourth proportional to 489.96, 734.85 and 165.33 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.96 : 734.85 = 165.33 : x
  2. Step 2: Convert to fraction form
    489.96/734.85 = 165.33/x
  3. Step 3: Cross multiply
    489.96x = 734.85 × 165.33
  4. Step 4: Simplify right side
    489.96x = 121,492.75
  5. Step 5: Solve for x
    x = 121,492.75/489.96
  6. Step 6: Final answer
    x = 247.96

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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.