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Finding the Fourth Proportional to 241.65, 362.34 and 132.03

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Solution

The fourth proportional to 241.65, 362.34 and 132.03 is: 197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.65 : 362.34 = 132.03 : x
  2. Step 2: Convert to fraction form
    241.65/362.34 = 132.03/x
  3. Step 3: Cross multiply
    241.65x = 362.34 × 132.03
  4. Step 4: Simplify right side
    241.65x = 47,839.75
  5. Step 5: Solve for x
    x = 47,839.75/241.65
  6. Step 6: Final answer
    x = 197.97

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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.