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Finding the Fourth Proportional to 163.68, 243.98 and 163.14

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Solution

The fourth proportional to 163.68, 243.98 and 163.14 is: 243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.68 : 243.98 = 163.14 : x
  2. Step 2: Convert to fraction form
    163.68/243.98 = 163.14/x
  3. Step 3: Cross multiply
    163.68x = 243.98 × 163.14
  4. Step 4: Simplify right side
    163.68x = 39,802.08
  5. Step 5: Solve for x
    x = 39,802.08/163.68
  6. Step 6: Final answer
    x = 243.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.