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Finding the Fourth Proportional to 241.38, 362.16 and 97.14

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Solution

The fourth proportional to 241.38, 362.16 and 97.14 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.38 : 362.16 = 97.14 : x
  2. Step 2: Convert to fraction form
    241.38/362.16 = 97.14/x
  3. Step 3: Cross multiply
    241.38x = 362.16 × 97.14
  4. Step 4: Simplify right side
    241.38x = 35,180.22
  5. Step 5: Solve for x
    x = 35,180.22/241.38
  6. Step 6: Final answer
    x = 145.75

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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.