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Finding the Fourth Proportional to 191.56, 288.94 and 169.02

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Solution

The fourth proportional to 191.56, 288.94 and 169.02 is: 254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 288.94 = 169.02 : x
  2. Step 2: Convert to fraction form
    191.56/288.94 = 169.02/x
  3. Step 3: Cross multiply
    191.56x = 288.94 × 169.02
  4. Step 4: Simplify right side
    191.56x = 48,835.79
  5. Step 5: Solve for x
    x = 48,835.79/191.56
  6. Step 6: Final answer
    x = 254.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.