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Finding the Fourth Proportional to 368.76, 553.41 and 195.48

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Solution

The fourth proportional to 368.76, 553.41 and 195.48 is: 293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.76 : 553.41 = 195.48 : x
  2. Step 2: Convert to fraction form
    368.76/553.41 = 195.48/x
  3. Step 3: Cross multiply
    368.76x = 553.41 × 195.48
  4. Step 4: Simplify right side
    368.76x = 108,180.59
  5. Step 5: Solve for x
    x = 108,180.59/368.76
  6. Step 6: Final answer
    x = 293.36

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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.