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Finding the Fourth Proportional to 489.76, 734.67 and 165.10

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Solution

The fourth proportional to 489.76, 734.67 and 165.10 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.76 : 734.67 = 165.10 : x
  2. Step 2: Convert to fraction form
    489.76/734.67 = 165.10/x
  3. Step 3: Cross multiply
    489.76x = 734.67 × 165.10
  4. Step 4: Simplify right side
    489.76x = 121,294.02
  5. Step 5: Solve for x
    x = 121,294.02/489.76
  6. Step 6: Final answer
    x = 247.66

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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.