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Finding the Fourth Proportional to 376.60, 518.94 and 266.20

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Solution

The fourth proportional to 376.60, 518.94 and 266.20 is: 366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.60 : 518.94 = 266.20 : x
  2. Step 2: Convert to fraction form
    376.60/518.94 = 266.20/x
  3. Step 3: Cross multiply
    376.60x = 518.94 × 266.20
  4. Step 4: Simplify right side
    376.60x = 138,141.83
  5. Step 5: Solve for x
    x = 138,141.83/376.60
  6. Step 6: Final answer
    x = 366.81

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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.