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Finding the Fourth Proportional to 363.77, 546.16 and 190.56

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Solution

The fourth proportional to 363.77, 546.16 and 190.56 is: 286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.77 : 546.16 = 190.56 : x
  2. Step 2: Convert to fraction form
    363.77/546.16 = 190.56/x
  3. Step 3: Cross multiply
    363.77x = 546.16 × 190.56
  4. Step 4: Simplify right side
    363.77x = 104,076.25
  5. Step 5: Solve for x
    x = 104,076.25/363.77
  6. Step 6: Final answer
    x = 286.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.