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Finding the Fourth Proportional to 195.69, 292.02 and 175.19

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Solution

The fourth proportional to 195.69, 292.02 and 175.19 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.69 : 292.02 = 175.19 : x
  2. Step 2: Convert to fraction form
    195.69/292.02 = 175.19/x
  3. Step 3: Cross multiply
    195.69x = 292.02 × 175.19
  4. Step 4: Simplify right side
    195.69x = 51,157.52
  5. Step 5: Solve for x
    x = 51,157.52/195.69
  6. Step 6: Final answer
    x = 261.42

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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.