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Finding the Fourth Proportional to 212.90, 293.67 and 189.74

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Solution

The fourth proportional to 212.90, 293.67 and 189.74 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.90 : 293.67 = 189.74 : x
  2. Step 2: Convert to fraction form
    212.90/293.67 = 189.74/x
  3. Step 3: Cross multiply
    212.90x = 293.67 × 189.74
  4. Step 4: Simplify right side
    212.90x = 55,720.95
  5. Step 5: Solve for x
    x = 55,720.95/212.90
  6. Step 6: Final answer
    x = 261.72

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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.