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Finding the Fourth Proportional to 312.87, 469.31 and 141.75

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Solution

The fourth proportional to 312.87, 469.31 and 141.75 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.87 : 469.31 = 141.75 : x
  2. Step 2: Convert to fraction form
    312.87/469.31 = 141.75/x
  3. Step 3: Cross multiply
    312.87x = 469.31 × 141.75
  4. Step 4: Simplify right side
    312.87x = 66,523.98
  5. Step 5: Solve for x
    x = 66,523.98/312.87
  6. Step 6: Final answer
    x = 212.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.