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Finding the Fourth Proportional to 275.93, 414.09 and 122.03

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Solution

The fourth proportional to 275.93, 414.09 and 122.03 is: 183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.93 : 414.09 = 122.03 : x
  2. Step 2: Convert to fraction form
    275.93/414.09 = 122.03/x
  3. Step 3: Cross multiply
    275.93x = 414.09 × 122.03
  4. Step 4: Simplify right side
    275.93x = 50,531.40
  5. Step 5: Solve for x
    x = 50,531.40/275.93
  6. Step 6: Final answer
    x = 183.13

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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.