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Finding the Fourth Proportional to 368.86, 553.44 and 163.54

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Solution

The fourth proportional to 368.86, 553.44 and 163.54 is: 245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.86 : 553.44 = 163.54 : x
  2. Step 2: Convert to fraction form
    368.86/553.44 = 163.54/x
  3. Step 3: Cross multiply
    368.86x = 553.44 × 163.54
  4. Step 4: Simplify right side
    368.86x = 90,509.58
  5. Step 5: Solve for x
    x = 90,509.58/368.86
  6. Step 6: Final answer
    x = 245.38

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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.