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Finding the Fourth Proportional to 275.85, 380.16 and 262.62

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Solution

The fourth proportional to 275.85, 380.16 and 262.62 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.85 : 380.16 = 262.62 : x
  2. Step 2: Convert to fraction form
    275.85/380.16 = 262.62/x
  3. Step 3: Cross multiply
    275.85x = 380.16 × 262.62
  4. Step 4: Simplify right side
    275.85x = 99,837.62
  5. Step 5: Solve for x
    x = 99,837.62/275.85
  6. Step 6: Final answer
    x = 361.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.