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Finding the Fourth Proportional to 191.89, 287.81 and 146.33

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Solution

The fourth proportional to 191.89, 287.81 and 146.33 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.89 : 287.81 = 146.33 : x
  2. Step 2: Convert to fraction form
    191.89/287.81 = 146.33/x
  3. Step 3: Cross multiply
    191.89x = 287.81 × 146.33
  4. Step 4: Simplify right side
    191.89x = 42,115.24
  5. Step 5: Solve for x
    x = 42,115.24/191.89
  6. Step 6: Final answer
    x = 219.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.