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Finding the Fourth Proportional to 195.20, 291.20 and 176.96

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Solution

The fourth proportional to 195.20, 291.20 and 176.96 is: 263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.20 : 291.20 = 176.96 : x
  2. Step 2: Convert to fraction form
    195.20/291.20 = 176.96/x
  3. Step 3: Cross multiply
    195.20x = 291.20 × 176.96
  4. Step 4: Simplify right side
    195.20x = 51,530.75
  5. Step 5: Solve for x
    x = 51,530.75/195.20
  6. Step 6: Final answer
    x = 263.99

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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.