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Finding the Fourth Proportional to 215.88, 323.85 and 94.20

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Solution

The fourth proportional to 215.88, 323.85 and 94.20 is: 141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 323.85 = 94.20 : x
  2. Step 2: Convert to fraction form
    215.88/323.85 = 94.20/x
  3. Step 3: Cross multiply
    215.88x = 323.85 × 94.20
  4. Step 4: Simplify right side
    215.88x = 30,506.67
  5. Step 5: Solve for x
    x = 30,506.67/215.88
  6. Step 6: Final answer
    x = 141.31

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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.