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Finding the Fourth Proportional to 164.10, 245.81 and 142.42

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Solution

The fourth proportional to 164.10, 245.81 and 142.42 is: 213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.10 : 245.81 = 142.42 : x
  2. Step 2: Convert to fraction form
    164.10/245.81 = 142.42/x
  3. Step 3: Cross multiply
    164.10x = 245.81 × 142.42
  4. Step 4: Simplify right side
    164.10x = 35,008.26
  5. Step 5: Solve for x
    x = 35,008.26/164.10
  6. Step 6: Final answer
    x = 213.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.