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Finding the Fourth Proportional to 191.88, 288.02 and 105.21

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Solution

The fourth proportional to 191.88, 288.02 and 105.21 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.88 : 288.02 = 105.21 : x
  2. Step 2: Convert to fraction form
    191.88/288.02 = 105.21/x
  3. Step 3: Cross multiply
    191.88x = 288.02 × 105.21
  4. Step 4: Simplify right side
    191.88x = 30,302.85
  5. Step 5: Solve for x
    x = 30,302.85/191.88
  6. Step 6: Final answer
    x = 157.93

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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.