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Finding the Fourth Proportional to 312.06, 430.75 and 195.63

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Solution

The fourth proportional to 312.06, 430.75 and 195.63 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 430.75 = 195.63 : x
  2. Step 2: Convert to fraction form
    312.06/430.75 = 195.63/x
  3. Step 3: Cross multiply
    312.06x = 430.75 × 195.63
  4. Step 4: Simplify right side
    312.06x = 84,267.62
  5. Step 5: Solve for x
    x = 84,267.62/312.06
  6. Step 6: Final answer
    x = 270.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.