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Finding the Fourth Proportional to 212.37, 316.41 and 202.05

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Solution

The fourth proportional to 212.37, 316.41 and 202.05 is: 301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.37 : 316.41 = 202.05 : x
  2. Step 2: Convert to fraction form
    212.37/316.41 = 202.05/x
  3. Step 3: Cross multiply
    212.37x = 316.41 × 202.05
  4. Step 4: Simplify right side
    212.37x = 63,930.64
  5. Step 5: Solve for x
    x = 63,930.64/212.37
  6. Step 6: Final answer
    x = 301.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.