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Finding the Fourth Proportional to 194.56, 290.60 and 162.52

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Solution

The fourth proportional to 194.56, 290.60 and 162.52 is: 242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 290.60 = 162.52 : x
  2. Step 2: Convert to fraction form
    194.56/290.60 = 162.52/x
  3. Step 3: Cross multiply
    194.56x = 290.60 × 162.52
  4. Step 4: Simplify right side
    194.56x = 47,228.31
  5. Step 5: Solve for x
    x = 47,228.31/194.56
  6. Step 6: Final answer
    x = 242.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.