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Finding the Fourth Proportional to 241.38, 362 and 97.06

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Solution

The fourth proportional to 241.38, 362 and 97.06 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.38 : 362 = 97.06 : x
  2. Step 2: Convert to fraction form
    241.38/362 = 97.06/x
  3. Step 3: Cross multiply
    241.38x = 362 × 97.06
  4. Step 4: Simplify right side
    241.38x = 35,135.72
  5. Step 5: Solve for x
    x = 35,135.72/241.38
  6. Step 6: Final answer
    x = 145.56

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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.