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Finding the Fourth Proportional to 364.26, 546.61 and 191.06

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Solution

The fourth proportional to 364.26, 546.61 and 191.06 is: 286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 546.61 = 191.06 : x
  2. Step 2: Convert to fraction form
    364.26/546.61 = 191.06/x
  3. Step 3: Cross multiply
    364.26x = 546.61 × 191.06
  4. Step 4: Simplify right side
    364.26x = 104,435.31
  5. Step 5: Solve for x
    x = 104,435.31/364.26
  6. Step 6: Final answer
    x = 286.71

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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.