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Finding the Fourth Proportional to 212.63, 293.14 and 142.57

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Solution

The fourth proportional to 212.63, 293.14 and 142.57 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 293.14 = 142.57 : x
  2. Step 2: Convert to fraction form
    212.63/293.14 = 142.57/x
  3. Step 3: Cross multiply
    212.63x = 293.14 × 142.57
  4. Step 4: Simplify right side
    212.63x = 41,790.79
  5. Step 5: Solve for x
    x = 41,790.79/212.63
  6. Step 6: Final answer
    x = 196.54

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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.