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Finding the Fourth Proportional to 212.88, 293.73 and 134.21

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Solution

The fourth proportional to 212.88, 293.73 and 134.21 is: 185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 293.73 = 134.21 : x
  2. Step 2: Convert to fraction form
    212.88/293.73 = 134.21/x
  3. Step 3: Cross multiply
    212.88x = 293.73 × 134.21
  4. Step 4: Simplify right side
    212.88x = 39,422.04
  5. Step 5: Solve for x
    x = 39,422.04/212.88
  6. Step 6: Final answer
    x = 185.18

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