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Finding the Fourth Proportional to 163.88, 245.80 and 154.36

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Solution

The fourth proportional to 163.88, 245.80 and 154.36 is: 231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 245.80 = 154.36 : x
  2. Step 2: Convert to fraction form
    163.88/245.80 = 154.36/x
  3. Step 3: Cross multiply
    163.88x = 245.80 × 154.36
  4. Step 4: Simplify right side
    163.88x = 37,941.69
  5. Step 5: Solve for x
    x = 37,941.69/163.88
  6. Step 6: Final answer
    x = 231.52

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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.