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Finding the Fourth Proportional to 163.56, 225.45 and 136.02

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Solution

The fourth proportional to 163.56, 225.45 and 136.02 is: 187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.56 : 225.45 = 136.02 : x
  2. Step 2: Convert to fraction form
    163.56/225.45 = 136.02/x
  3. Step 3: Cross multiply
    163.56x = 225.45 × 136.02
  4. Step 4: Simplify right side
    163.56x = 30,665.71
  5. Step 5: Solve for x
    x = 30,665.71/163.56
  6. Step 6: Final answer
    x = 187.49

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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.