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Finding the Fourth Proportional to 211.75, 317.29 and 150.83

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Solution

The fourth proportional to 211.75, 317.29 and 150.83 is: 226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.75 : 317.29 = 150.83 : x
  2. Step 2: Convert to fraction form
    211.75/317.29 = 150.83/x
  3. Step 3: Cross multiply
    211.75x = 317.29 × 150.83
  4. Step 4: Simplify right side
    211.75x = 47,856.85
  5. Step 5: Solve for x
    x = 47,856.85/211.75
  6. Step 6: Final answer
    x = 226.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.