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Finding the Fourth Proportional to 244.02, 365.75 and 107.04

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Solution

The fourth proportional to 244.02, 365.75 and 107.04 is: 160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.02 : 365.75 = 107.04 : x
  2. Step 2: Convert to fraction form
    244.02/365.75 = 107.04/x
  3. Step 3: Cross multiply
    244.02x = 365.75 × 107.04
  4. Step 4: Simplify right side
    244.02x = 39,151.44
  5. Step 5: Solve for x
    x = 39,151.44/244.02
  6. Step 6: Final answer
    x = 160.45

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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.