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Finding the Fourth Proportional to 313.45, 432.43 and 195.34

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Solution

The fourth proportional to 313.45, 432.43 and 195.34 is: 269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 432.43 = 195.34 : x
  2. Step 2: Convert to fraction form
    313.45/432.43 = 195.34/x
  3. Step 3: Cross multiply
    313.45x = 432.43 × 195.34
  4. Step 4: Simplify right side
    313.45x = 84,470.88
  5. Step 5: Solve for x
    x = 84,470.88/313.45
  6. Step 6: Final answer
    x = 269.49

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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.