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Finding the Fourth Proportional to 163.06, 245.56 and 147

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Solution

The fourth proportional to 163.06, 245.56 and 147 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.06 : 245.56 = 147 : x
  2. Step 2: Convert to fraction form
    163.06/245.56 = 147/x
  3. Step 3: Cross multiply
    163.06x = 245.56 × 147
  4. Step 4: Simplify right side
    163.06x = 36,097.32
  5. Step 5: Solve for x
    x = 36,097.32/163.06
  6. Step 6: Final answer
    x = 221.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.