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Finding the Fourth Proportional to 212.21, 319.60 and 186.86

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Solution

The fourth proportional to 212.21, 319.60 and 186.86 is: 281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.21 : 319.60 = 186.86 : x
  2. Step 2: Convert to fraction form
    212.21/319.60 = 186.86/x
  3. Step 3: Cross multiply
    212.21x = 319.60 × 186.86
  4. Step 4: Simplify right side
    212.21x = 59,720.46
  5. Step 5: Solve for x
    x = 59,720.46/212.21
  6. Step 6: Final answer
    x = 281.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.