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Finding the Fourth Proportional to 163.69, 245.51 and 154.65

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Solution

The fourth proportional to 163.69, 245.51 and 154.65 is: 231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 245.51 = 154.65 : x
  2. Step 2: Convert to fraction form
    163.69/245.51 = 154.65/x
  3. Step 3: Cross multiply
    163.69x = 245.51 × 154.65
  4. Step 4: Simplify right side
    163.69x = 37,968.12
  5. Step 5: Solve for x
    x = 37,968.12/163.69
  6. Step 6: Final answer
    x = 231.95

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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.