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Finding the Fourth Proportional to 163.98, 245.98 and 123.48

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Solution

The fourth proportional to 163.98, 245.98 and 123.48 is: 185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 245.98 = 123.48 : x
  2. Step 2: Convert to fraction form
    163.98/245.98 = 123.48/x
  3. Step 3: Cross multiply
    163.98x = 245.98 × 123.48
  4. Step 4: Simplify right side
    163.98x = 30,373.61
  5. Step 5: Solve for x
    x = 30,373.61/163.98
  6. Step 6: Final answer
    x = 185.23

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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.