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Finding the Fourth Proportional to 299.09, 448.63 and 163.00

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Solution

The fourth proportional to 299.09, 448.63 and 163.00 is: 244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 448.63 = 163.00 : x
  2. Step 2: Convert to fraction form
    299.09/448.63 = 163.00/x
  3. Step 3: Cross multiply
    299.09x = 448.63 × 163.00
  4. Step 4: Simplify right side
    299.09x = 73,129.02
  5. Step 5: Solve for x
    x = 73,129.02/299.09
  6. Step 6: Final answer
    x = 244.50

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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.