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Finding the Fourth Proportional to 163.60, 225.90 and 147.16

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Solution

The fourth proportional to 163.60, 225.90 and 147.16 is: 203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.60 : 225.90 = 147.16 : x
  2. Step 2: Convert to fraction form
    163.60/225.90 = 147.16/x
  3. Step 3: Cross multiply
    163.60x = 225.90 × 147.16
  4. Step 4: Simplify right side
    163.60x = 33,243.44
  5. Step 5: Solve for x
    x = 33,243.44/163.60
  6. Step 6: Final answer
    x = 203.20

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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.