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Finding the Fourth Proportional to 163.56, 245.61 and 147.90

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Solution

The fourth proportional to 163.56, 245.61 and 147.90 is: 222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.56 : 245.61 = 147.90 : x
  2. Step 2: Convert to fraction form
    163.56/245.61 = 147.90/x
  3. Step 3: Cross multiply
    163.56x = 245.61 × 147.90
  4. Step 4: Simplify right side
    163.56x = 36,325.72
  5. Step 5: Solve for x
    x = 36,325.72/163.56
  6. Step 6: Final answer
    x = 222.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.