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Finding the Fourth Proportional to 163.81, 245.28 and 114.98

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Solution

The fourth proportional to 163.81, 245.28 and 114.98 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.81 : 245.28 = 114.98 : x
  2. Step 2: Convert to fraction form
    163.81/245.28 = 114.98/x
  3. Step 3: Cross multiply
    163.81x = 245.28 × 114.98
  4. Step 4: Simplify right side
    163.81x = 28,202.29
  5. Step 5: Solve for x
    x = 28,202.29/163.81
  6. Step 6: Final answer
    x = 172.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.