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Finding the Fourth Proportional to 163.19, 224.55 and 147.66

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Solution

The fourth proportional to 163.19, 224.55 and 147.66 is: 203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.19 : 224.55 = 147.66 : x
  2. Step 2: Convert to fraction form
    163.19/224.55 = 147.66/x
  3. Step 3: Cross multiply
    163.19x = 224.55 × 147.66
  4. Step 4: Simplify right side
    163.19x = 33,157.05
  5. Step 5: Solve for x
    x = 33,157.05/163.19
  6. Step 6: Final answer
    x = 203.18

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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.