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Finding the Fourth Proportional to 275.87, 380.54 and 192.83

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Solution

The fourth proportional to 275.87, 380.54 and 192.83 is: 265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.87 : 380.54 = 192.83 : x
  2. Step 2: Convert to fraction form
    275.87/380.54 = 192.83/x
  3. Step 3: Cross multiply
    275.87x = 380.54 × 192.83
  4. Step 4: Simplify right side
    275.87x = 73,379.53
  5. Step 5: Solve for x
    x = 73,379.53/275.87
  6. Step 6: Final answer
    x = 265.99

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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.