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Finding the Fourth Proportional to 163.23, 224.58 and 159.58

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Solution

The fourth proportional to 163.23, 224.58 and 159.58 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.23 : 224.58 = 159.58 : x
  2. Step 2: Convert to fraction form
    163.23/224.58 = 159.58/x
  3. Step 3: Cross multiply
    163.23x = 224.58 × 159.58
  4. Step 4: Simplify right side
    163.23x = 35,838.48
  5. Step 5: Solve for x
    x = 35,838.48/163.23
  6. Step 6: Final answer
    x = 219.56

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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.