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Finding the Fourth Proportional to 164.56, 244.98 and 162.28

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Solution

The fourth proportional to 164.56, 244.98 and 162.28 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 244.98 = 162.28 : x
  2. Step 2: Convert to fraction form
    164.56/244.98 = 162.28/x
  3. Step 3: Cross multiply
    164.56x = 244.98 × 162.28
  4. Step 4: Simplify right side
    164.56x = 39,755.35
  5. Step 5: Solve for x
    x = 39,755.35/164.56
  6. Step 6: Final answer
    x = 241.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.