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Finding the Fourth Proportional to 244.17, 365.97 and 146.80

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Solution

The fourth proportional to 244.17, 365.97 and 146.80 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.17 : 365.97 = 146.80 : x
  2. Step 2: Convert to fraction form
    244.17/365.97 = 146.80/x
  3. Step 3: Cross multiply
    244.17x = 365.97 × 146.80
  4. Step 4: Simplify right side
    244.17x = 53,724.40
  5. Step 5: Solve for x
    x = 53,724.40/244.17
  6. Step 6: Final answer
    x = 220.03

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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.