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Finding the Fourth Proportional to 241.53, 362.30 and 77.03

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Solution

The fourth proportional to 241.53, 362.30 and 77.03 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.53 : 362.30 = 77.03 : x
  2. Step 2: Convert to fraction form
    241.53/362.30 = 77.03/x
  3. Step 3: Cross multiply
    241.53x = 362.30 × 77.03
  4. Step 4: Simplify right side
    241.53x = 27,907.97
  5. Step 5: Solve for x
    x = 27,907.97/241.53
  6. Step 6: Final answer
    x = 115.55

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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.