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Finding the Fourth Proportional to 164.16, 226.44 and 142.20

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Solution

The fourth proportional to 164.16, 226.44 and 142.20 is: 196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 226.44 = 142.20 : x
  2. Step 2: Convert to fraction form
    164.16/226.44 = 142.20/x
  3. Step 3: Cross multiply
    164.16x = 226.44 × 142.20
  4. Step 4: Simplify right side
    164.16x = 32,199.77
  5. Step 5: Solve for x
    x = 32,199.77/164.16
  6. Step 6: Final answer
    x = 196.15

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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.