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Finding the Fourth Proportional to 191.89, 264.82 and 109.01

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Solution

The fourth proportional to 191.89, 264.82 and 109.01 is: 150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.89 : 264.82 = 109.01 : x
  2. Step 2: Convert to fraction form
    191.89/264.82 = 109.01/x
  3. Step 3: Cross multiply
    191.89x = 264.82 × 109.01
  4. Step 4: Simplify right side
    191.89x = 28,868.03
  5. Step 5: Solve for x
    x = 28,868.03/191.89
  6. Step 6: Final answer
    x = 150.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.