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Finding the Fourth Proportional to 164.84, 227.68 and 142.97

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Solution

The fourth proportional to 164.84, 227.68 and 142.97 is: 197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.84 : 227.68 = 142.97 : x
  2. Step 2: Convert to fraction form
    164.84/227.68 = 142.97/x
  3. Step 3: Cross multiply
    164.84x = 227.68 × 142.97
  4. Step 4: Simplify right side
    164.84x = 32,549.91
  5. Step 5: Solve for x
    x = 32,549.91/164.84
  6. Step 6: Final answer
    x = 197.47

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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.