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Finding the Fourth Proportional to 195.42, 293.08 and 114.22

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Solution

The fourth proportional to 195.42, 293.08 and 114.22 is: 171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 293.08 = 114.22 : x
  2. Step 2: Convert to fraction form
    195.42/293.08 = 114.22/x
  3. Step 3: Cross multiply
    195.42x = 293.08 × 114.22
  4. Step 4: Simplify right side
    195.42x = 33,475.60
  5. Step 5: Solve for x
    x = 33,475.60/195.42
  6. Step 6: Final answer
    x = 171.30

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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.