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Finding the Fourth Proportional to 364.75, 546.86 and 191.41

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Solution

The fourth proportional to 364.75, 546.86 and 191.41 is: 286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 546.86 = 191.41 : x
  2. Step 2: Convert to fraction form
    364.75/546.86 = 191.41/x
  3. Step 3: Cross multiply
    364.75x = 546.86 × 191.41
  4. Step 4: Simplify right side
    364.75x = 104,673.52
  5. Step 5: Solve for x
    x = 104,673.52/364.75
  6. Step 6: Final answer
    x = 286.97

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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.