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Finding the Fourth Proportional to 215.10, 321.84 and 178.65

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Solution

The fourth proportional to 215.10, 321.84 and 178.65 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 321.84 = 178.65 : x
  2. Step 2: Convert to fraction form
    215.10/321.84 = 178.65/x
  3. Step 3: Cross multiply
    215.10x = 321.84 × 178.65
  4. Step 4: Simplify right side
    215.10x = 57,496.72
  5. Step 5: Solve for x
    x = 57,496.72/215.10
  6. Step 6: Final answer
    x = 267.30

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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.