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Finding the Fourth Proportional to 212.85, 293.64 and 142.86

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Solution

The fourth proportional to 212.85, 293.64 and 142.86 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.85 : 293.64 = 142.86 : x
  2. Step 2: Convert to fraction form
    212.85/293.64 = 142.86/x
  3. Step 3: Cross multiply
    212.85x = 293.64 × 142.86
  4. Step 4: Simplify right side
    212.85x = 41,949.41
  5. Step 5: Solve for x
    x = 41,949.41/212.85
  6. Step 6: Final answer
    x = 197.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.