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Finding the Fourth Proportional to 212.05, 292.56 and 138.35

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Solution

The fourth proportional to 212.05, 292.56 and 138.35 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.05 : 292.56 = 138.35 : x
  2. Step 2: Convert to fraction form
    212.05/292.56 = 138.35/x
  3. Step 3: Cross multiply
    212.05x = 292.56 × 138.35
  4. Step 4: Simplify right side
    212.05x = 40,475.68
  5. Step 5: Solve for x
    x = 40,475.68/212.05
  6. Step 6: Final answer
    x = 190.88

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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.