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Finding the Fourth Proportional to 191.82, 287.36 and 153.34

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Solution

The fourth proportional to 191.82, 287.36 and 153.34 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 287.36 = 153.34 : x
  2. Step 2: Convert to fraction form
    191.82/287.36 = 153.34/x
  3. Step 3: Cross multiply
    191.82x = 287.36 × 153.34
  4. Step 4: Simplify right side
    191.82x = 44,063.78
  5. Step 5: Solve for x
    x = 44,063.78/191.82
  6. Step 6: Final answer
    x = 229.71

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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.