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Finding the Fourth Proportional to 212.37, 317.95 and 154.27

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Solution

The fourth proportional to 212.37, 317.95 and 154.27 is: 230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.37 : 317.95 = 154.27 : x
  2. Step 2: Convert to fraction form
    212.37/317.95 = 154.27/x
  3. Step 3: Cross multiply
    212.37x = 317.95 × 154.27
  4. Step 4: Simplify right side
    212.37x = 49,050.15
  5. Step 5: Solve for x
    x = 49,050.15/212.37
  6. Step 6: Final answer
    x = 230.97

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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.