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Finding the Fourth Proportional to 226.04, 311.90 and 157.08

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Solution

The fourth proportional to 226.04, 311.90 and 157.08 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.04 : 311.90 = 157.08 : x
  2. Step 2: Convert to fraction form
    226.04/311.90 = 157.08/x
  3. Step 3: Cross multiply
    226.04x = 311.90 × 157.08
  4. Step 4: Simplify right side
    226.04x = 48,993.25
  5. Step 5: Solve for x
    x = 48,993.25/226.04
  6. Step 6: Final answer
    x = 216.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.