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Finding the Fourth Proportional to 275.93, 414.07 and 111.38

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Solution

The fourth proportional to 275.93, 414.07 and 111.38 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.93 : 414.07 = 111.38 : x
  2. Step 2: Convert to fraction form
    275.93/414.07 = 111.38/x
  3. Step 3: Cross multiply
    275.93x = 414.07 × 111.38
  4. Step 4: Simplify right side
    275.93x = 46,118.32
  5. Step 5: Solve for x
    x = 46,118.32/275.93
  6. Step 6: Final answer
    x = 167.14

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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.