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Finding the Fourth Proportional to 164.64, 227.40 and 142.80

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Solution

The fourth proportional to 164.64, 227.40 and 142.80 is: 197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 227.40 = 142.80 : x
  2. Step 2: Convert to fraction form
    164.64/227.40 = 142.80/x
  3. Step 3: Cross multiply
    164.64x = 227.40 × 142.80
  4. Step 4: Simplify right side
    164.64x = 32,472.72
  5. Step 5: Solve for x
    x = 32,472.72/164.64
  6. Step 6: Final answer
    x = 197.23

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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.