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Finding the Fourth Proportional to 195.08, 291.76 and 173.57

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Solution

The fourth proportional to 195.08, 291.76 and 173.57 is: 259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.08 : 291.76 = 173.57 : x
  2. Step 2: Convert to fraction form
    195.08/291.76 = 173.57/x
  3. Step 3: Cross multiply
    195.08x = 291.76 × 173.57
  4. Step 4: Simplify right side
    195.08x = 50,638.89
  5. Step 5: Solve for x
    x = 50,638.89/195.08
  6. Step 6: Final answer
    x = 259.59

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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.