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Finding the Fourth Proportional to 212.77, 293.67 and 142.93

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Solution

The fourth proportional to 212.77, 293.67 and 142.93 is: 197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.77 : 293.67 = 142.93 : x
  2. Step 2: Convert to fraction form
    212.77/293.67 = 142.93/x
  3. Step 3: Cross multiply
    212.77x = 293.67 × 142.93
  4. Step 4: Simplify right side
    212.77x = 41,974.25
  5. Step 5: Solve for x
    x = 41,974.25/212.77
  6. Step 6: Final answer
    x = 197.28

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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.