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Finding the Fourth Proportional to 241.45, 362.17 and 97.06

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Solution

The fourth proportional to 241.45, 362.17 and 97.06 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.45 : 362.17 = 97.06 : x
  2. Step 2: Convert to fraction form
    241.45/362.17 = 97.06/x
  3. Step 3: Cross multiply
    241.45x = 362.17 × 97.06
  4. Step 4: Simplify right side
    241.45x = 35,152.88
  5. Step 5: Solve for x
    x = 35,152.88/241.45
  6. Step 6: Final answer
    x = 145.59

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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.