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Finding the Fourth Proportional to 241.40, 362.01 and 97.07

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Solution

The fourth proportional to 241.40, 362.01 and 97.07 is: 145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.40 : 362.01 = 97.07 : x
  2. Step 2: Convert to fraction form
    241.40/362.01 = 97.07/x
  3. Step 3: Cross multiply
    241.40x = 362.01 × 97.07
  4. Step 4: Simplify right side
    241.40x = 35,140.31
  5. Step 5: Solve for x
    x = 35,140.31/241.40
  6. Step 6: Final answer
    x = 145.57

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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.