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Finding the Fourth Proportional to 212.01, 318.17 and 120.88

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Solution

The fourth proportional to 212.01, 318.17 and 120.88 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.01 : 318.17 = 120.88 : x
  2. Step 2: Convert to fraction form
    212.01/318.17 = 120.88/x
  3. Step 3: Cross multiply
    212.01x = 318.17 × 120.88
  4. Step 4: Simplify right side
    212.01x = 38,460.39
  5. Step 5: Solve for x
    x = 38,460.39/212.01
  6. Step 6: Final answer
    x = 181.41

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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.