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Finding the Fourth Proportional to 312.30, 430.74 and 195.75

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Solution

The fourth proportional to 312.30, 430.74 and 195.75 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.30 : 430.74 = 195.75 : x
  2. Step 2: Convert to fraction form
    312.30/430.74 = 195.75/x
  3. Step 3: Cross multiply
    312.30x = 430.74 × 195.75
  4. Step 4: Simplify right side
    312.30x = 84,317.36
  5. Step 5: Solve for x
    x = 84,317.36/312.30
  6. Step 6: Final answer
    x = 269.99

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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.