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Finding the Fourth Proportional to 312.14, 430.74 and 195.78

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Solution

The fourth proportional to 312.14, 430.74 and 195.78 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 430.74 = 195.78 : x
  2. Step 2: Convert to fraction form
    312.14/430.74 = 195.78/x
  3. Step 3: Cross multiply
    312.14x = 430.74 × 195.78
  4. Step 4: Simplify right side
    312.14x = 84,330.28
  5. Step 5: Solve for x
    x = 84,330.28/312.14
  6. Step 6: Final answer
    x = 270.17

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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.