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Finding the Fourth Proportional to 313.85, 432.98 and 195.78

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Solution

The fourth proportional to 313.85, 432.98 and 195.78 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.85 : 432.98 = 195.78 : x
  2. Step 2: Convert to fraction form
    313.85/432.98 = 195.78/x
  3. Step 3: Cross multiply
    313.85x = 432.98 × 195.78
  4. Step 4: Simplify right side
    313.85x = 84,767.85
  5. Step 5: Solve for x
    x = 84,767.85/313.85
  6. Step 6: Final answer
    x = 270.09

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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.