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Finding the Fourth Proportional to 312.21, 430.81 and 195.75

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Solution

The fourth proportional to 312.21, 430.81 and 195.75 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.21 : 430.81 = 195.75 : x
  2. Step 2: Convert to fraction form
    312.21/430.81 = 195.75/x
  3. Step 3: Cross multiply
    312.21x = 430.81 × 195.75
  4. Step 4: Simplify right side
    312.21x = 84,330.57
  5. Step 5: Solve for x
    x = 84,330.57/312.21
  6. Step 6: Final answer
    x = 270.11

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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.