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Finding the Fourth Proportional to 164.02, 225.90 and 120.28

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Solution

The fourth proportional to 164.02, 225.90 and 120.28 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.02 : 225.90 = 120.28 : x
  2. Step 2: Convert to fraction form
    164.02/225.90 = 120.28/x
  3. Step 3: Cross multiply
    164.02x = 225.90 × 120.28
  4. Step 4: Simplify right side
    164.02x = 27,171.25
  5. Step 5: Solve for x
    x = 27,171.25/164.02
  6. Step 6: Final answer
    x = 165.66

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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.