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Finding the Fourth Proportional to 164.04, 226.08 and 159.36

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Solution

The fourth proportional to 164.04, 226.08 and 159.36 is: 219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 226.08 = 159.36 : x
  2. Step 2: Convert to fraction form
    164.04/226.08 = 159.36/x
  3. Step 3: Cross multiply
    164.04x = 226.08 × 159.36
  4. Step 4: Simplify right side
    164.04x = 36,028.11
  5. Step 5: Solve for x
    x = 36,028.11/164.04
  6. Step 6: Final answer
    x = 219.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.