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Finding the Fourth Proportional to 244.68, 366.81 and 123.02

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Solution

The fourth proportional to 244.68, 366.81 and 123.02 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.68 : 366.81 = 123.02 : x
  2. Step 2: Convert to fraction form
    244.68/366.81 = 123.02/x
  3. Step 3: Cross multiply
    244.68x = 366.81 × 123.02
  4. Step 4: Simplify right side
    244.68x = 45,124.97
  5. Step 5: Solve for x
    x = 45,124.97/244.68
  6. Step 6: Final answer
    x = 184.42

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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.