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Finding the Fourth Proportional to 164.55, 247.79 and 119.21

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Solution

The fourth proportional to 164.55, 247.79 and 119.21 is: 179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.55 : 247.79 = 119.21 : x
  2. Step 2: Convert to fraction form
    164.55/247.79 = 119.21/x
  3. Step 3: Cross multiply
    164.55x = 247.79 × 119.21
  4. Step 4: Simplify right side
    164.55x = 29,539.05
  5. Step 5: Solve for x
    x = 29,539.05/164.55
  6. Step 6: Final answer
    x = 179.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.