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Finding the Fourth Proportional to 241.37, 362.02 and 97.10

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Solution

The fourth proportional to 241.37, 362.02 and 97.10 is: 145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.37 : 362.02 = 97.10 : x
  2. Step 2: Convert to fraction form
    241.37/362.02 = 97.10/x
  3. Step 3: Cross multiply
    241.37x = 362.02 × 97.10
  4. Step 4: Simplify right side
    241.37x = 35,152.14
  5. Step 5: Solve for x
    x = 35,152.14/241.37
  6. Step 6: Final answer
    x = 145.64

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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.