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Finding the Fourth Proportional to 194.58, 291.93 and 121.59

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Solution

The fourth proportional to 194.58, 291.93 and 121.59 is: 182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 291.93 = 121.59 : x
  2. Step 2: Convert to fraction form
    194.58/291.93 = 121.59/x
  3. Step 3: Cross multiply
    194.58x = 291.93 × 121.59
  4. Step 4: Simplify right side
    194.58x = 35,495.77
  5. Step 5: Solve for x
    x = 35,495.77/194.58
  6. Step 6: Final answer
    x = 182.42

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