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Finding the Fourth Proportional to 241.47, 360.66 and 163.86

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Solution

The fourth proportional to 241.47, 360.66 and 163.86 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.47 : 360.66 = 163.86 : x
  2. Step 2: Convert to fraction form
    241.47/360.66 = 163.86/x
  3. Step 3: Cross multiply
    241.47x = 360.66 × 163.86
  4. Step 4: Simplify right side
    241.47x = 59,097.75
  5. Step 5: Solve for x
    x = 59,097.75/241.47
  6. Step 6: Final answer
    x = 244.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.