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Finding the Fourth Proportional to 199.56, 275.34 and 164.88

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Solution

The fourth proportional to 199.56, 275.34 and 164.88 is: 227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 275.34 = 164.88 : x
  2. Step 2: Convert to fraction form
    199.56/275.34 = 164.88/x
  3. Step 3: Cross multiply
    199.56x = 275.34 × 164.88
  4. Step 4: Simplify right side
    199.56x = 45,398.06
  5. Step 5: Solve for x
    x = 45,398.06/199.56
  6. Step 6: Final answer
    x = 227.49

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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.