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Finding the Fourth Proportional to 312.33, 431.06 and 212.89

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Solution

The fourth proportional to 312.33, 431.06 and 212.89 is: 293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.33 : 431.06 = 212.89 : x
  2. Step 2: Convert to fraction form
    312.33/431.06 = 212.89/x
  3. Step 3: Cross multiply
    312.33x = 431.06 × 212.89
  4. Step 4: Simplify right side
    312.33x = 91,768.53
  5. Step 5: Solve for x
    x = 91,768.53/312.33
  6. Step 6: Final answer
    x = 293.82

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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.