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Finding the Fourth Proportional to 195.60, 293.58 and 141.60

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Solution

The fourth proportional to 195.60, 293.58 and 141.60 is: 212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 293.58 = 141.60 : x
  2. Step 2: Convert to fraction form
    195.60/293.58 = 141.60/x
  3. Step 3: Cross multiply
    195.60x = 293.58 × 141.60
  4. Step 4: Simplify right side
    195.60x = 41,570.93
  5. Step 5: Solve for x
    x = 41,570.93/195.60
  6. Step 6: Final answer
    x = 212.53

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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.