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Finding the Fourth Proportional to 275.56, 380.36 and 192.88

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Solution

The fourth proportional to 275.56, 380.36 and 192.88 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.56 : 380.36 = 192.88 : x
  2. Step 2: Convert to fraction form
    275.56/380.36 = 192.88/x
  3. Step 3: Cross multiply
    275.56x = 380.36 × 192.88
  4. Step 4: Simplify right side
    275.56x = 73,363.84
  5. Step 5: Solve for x
    x = 73,363.84/275.56
  6. Step 6: Final answer
    x = 266.24

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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.