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Finding the Fourth Proportional to 244.59, 367.08 and 98.47

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Solution

The fourth proportional to 244.59, 367.08 and 98.47 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.59 : 367.08 = 98.47 : x
  2. Step 2: Convert to fraction form
    244.59/367.08 = 98.47/x
  3. Step 3: Cross multiply
    244.59x = 367.08 × 98.47
  4. Step 4: Simplify right side
    244.59x = 36,146.37
  5. Step 5: Solve for x
    x = 36,146.37/244.59
  6. Step 6: Final answer
    x = 147.78

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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.