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Finding the Fourth Proportional to 212.43, 293.16 and 123.90

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Solution

The fourth proportional to 212.43, 293.16 and 123.90 is: 170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 293.16 = 123.90 : x
  2. Step 2: Convert to fraction form
    212.43/293.16 = 123.90/x
  3. Step 3: Cross multiply
    212.43x = 293.16 × 123.90
  4. Step 4: Simplify right side
    212.43x = 36,321.72
  5. Step 5: Solve for x
    x = 36,321.72/212.43
  6. Step 6: Final answer
    x = 170.98

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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.