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Finding the Fourth Proportional to 312.08, 430.62 and 195.80

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Solution

The fourth proportional to 312.08, 430.62 and 195.80 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 430.62 = 195.80 : x
  2. Step 2: Convert to fraction form
    312.08/430.62 = 195.80/x
  3. Step 3: Cross multiply
    312.08x = 430.62 × 195.80
  4. Step 4: Simplify right side
    312.08x = 84,315.40
  5. Step 5: Solve for x
    x = 84,315.40/312.08
  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.