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Finding the Fourth Proportional to 226.20, 312.03 and 156.33

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Solution

The fourth proportional to 226.20, 312.03 and 156.33 is: 215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.20 : 312.03 = 156.33 : x
  2. Step 2: Convert to fraction form
    226.20/312.03 = 156.33/x
  3. Step 3: Cross multiply
    226.20x = 312.03 × 156.33
  4. Step 4: Simplify right side
    226.20x = 48,779.65
  5. Step 5: Solve for x
    x = 48,779.65/226.20
  6. Step 6: Final answer
    x = 215.65

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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.