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Finding the Fourth Proportional to 275.38, 414.92 and 245.90

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Solution

The fourth proportional to 275.38, 414.92 and 245.90 is: 370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.38 : 414.92 = 245.90 : x
  2. Step 2: Convert to fraction form
    275.38/414.92 = 245.90/x
  3. Step 3: Cross multiply
    275.38x = 414.92 × 245.90
  4. Step 4: Simplify right side
    275.38x = 102,028.83
  5. Step 5: Solve for x
    x = 102,028.83/275.38
  6. Step 6: Final answer
    x = 370.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.