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Finding the Fourth Proportional to 187.92, 259.56 and 164.88

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Solution

The fourth proportional to 187.92, 259.56 and 164.88 is: 227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 259.56 = 164.88 : x
  2. Step 2: Convert to fraction form
    187.92/259.56 = 164.88/x
  3. Step 3: Cross multiply
    187.92x = 259.56 × 164.88
  4. Step 4: Simplify right side
    187.92x = 42,796.25
  5. Step 5: Solve for x
    x = 42,796.25/187.92
  6. Step 6: Final answer
    x = 227.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.