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Finding the Fourth Proportional to 163.81, 245.85 and 153.15

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Solution

The fourth proportional to 163.81, 245.85 and 153.15 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.81 : 245.85 = 153.15 : x
  2. Step 2: Convert to fraction form
    163.81/245.85 = 153.15/x
  3. Step 3: Cross multiply
    163.81x = 245.85 × 153.15
  4. Step 4: Simplify right side
    163.81x = 37,651.93
  5. Step 5: Solve for x
    x = 37,651.93/163.81
  6. Step 6: Final answer
    x = 229.85

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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.