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Finding the Fourth Proportional to 215.59, 323.26 and 154.75

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Solution

The fourth proportional to 215.59, 323.26 and 154.75 is: 232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.59 : 323.26 = 154.75 : x
  2. Step 2: Convert to fraction form
    215.59/323.26 = 154.75/x
  3. Step 3: Cross multiply
    215.59x = 323.26 × 154.75
  4. Step 4: Simplify right side
    215.59x = 50,024.49
  5. Step 5: Solve for x
    x = 50,024.49/215.59
  6. Step 6: Final answer
    x = 232.04

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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.