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Finding the Fourth Proportional to 191.09, 285.34 and 150.05

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Solution

The fourth proportional to 191.09, 285.34 and 150.05 is: 224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 285.34 = 150.05 : x
  2. Step 2: Convert to fraction form
    191.09/285.34 = 150.05/x
  3. Step 3: Cross multiply
    191.09x = 285.34 × 150.05
  4. Step 4: Simplify right side
    191.09x = 42,815.27
  5. Step 5: Solve for x
    x = 42,815.27/191.09
  6. Step 6: Final answer
    x = 224.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.