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Finding the Fourth Proportional to 163.95, 224.32 and 163.47

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Solution

The fourth proportional to 163.95, 224.32 and 163.47 is: 223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.95 : 224.32 = 163.47 : x
  2. Step 2: Convert to fraction form
    163.95/224.32 = 163.47/x
  3. Step 3: Cross multiply
    163.95x = 224.32 × 163.47
  4. Step 4: Simplify right side
    163.95x = 36,669.18
  5. Step 5: Solve for x
    x = 36,669.18/163.95
  6. Step 6: Final answer
    x = 223.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.