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Finding the Fourth Proportional to 386.88, 580.64 and 194.56

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Solution

The fourth proportional to 386.88, 580.64 and 194.56 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 580.64 = 194.56 : x
  2. Step 2: Convert to fraction form
    386.88/580.64 = 194.56/x
  3. Step 3: Cross multiply
    386.88x = 580.64 × 194.56
  4. Step 4: Simplify right side
    386.88x = 112,969.32
  5. Step 5: Solve for x
    x = 112,969.32/386.88
  6. Step 6: Final answer
    x = 292.00

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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.