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Finding the Fourth Proportional to 315.09, 434.82 and 190.78

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Solution

The fourth proportional to 315.09, 434.82 and 190.78 is: 263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 434.82 = 190.78 : x
  2. Step 2: Convert to fraction form
    315.09/434.82 = 190.78/x
  3. Step 3: Cross multiply
    315.09x = 434.82 × 190.78
  4. Step 4: Simplify right side
    315.09x = 82,954.96
  5. Step 5: Solve for x
    x = 82,954.96/315.09
  6. Step 6: Final answer
    x = 263.27

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Why These Related Problems?

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