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Finding the Fourth Proportional to 241.92, 362.84 and 97.64

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Solution

The fourth proportional to 241.92, 362.84 and 97.64 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 362.84 = 97.64 : x
  2. Step 2: Convert to fraction form
    241.92/362.84 = 97.64/x
  3. Step 3: Cross multiply
    241.92x = 362.84 × 97.64
  4. Step 4: Simplify right side
    241.92x = 35,427.70
  5. Step 5: Solve for x
    x = 35,427.70/241.92
  6. Step 6: Final answer
    x = 146.44

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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.