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Finding the Fourth Proportional to 489.74, 734.54 and 165.11

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Solution

The fourth proportional to 489.74, 734.54 and 165.11 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.74 : 734.54 = 165.11 : x
  2. Step 2: Convert to fraction form
    489.74/734.54 = 165.11/x
  3. Step 3: Cross multiply
    489.74x = 734.54 × 165.11
  4. Step 4: Simplify right side
    489.74x = 121,279.07
  5. Step 5: Solve for x
    x = 121,279.07/489.74
  6. Step 6: Final answer
    x = 247.64

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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.