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Finding the Fourth Proportional to 489.71, 734.47 and 164.90

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Solution

The fourth proportional to 489.71, 734.47 and 164.90 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.71 : 734.47 = 164.90 : x
  2. Step 2: Convert to fraction form
    489.71/734.47 = 164.90/x
  3. Step 3: Cross multiply
    489.71x = 734.47 × 164.90
  4. Step 4: Simplify right side
    489.71x = 121,115.53
  5. Step 5: Solve for x
    x = 121,115.53/489.71
  6. Step 6: Final answer
    x = 247.32

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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.