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Finding the Fourth Proportional to 212.82, 293.58 and 139.10

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Solution

The fourth proportional to 212.82, 293.58 and 139.10 is: 191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 293.58 = 139.10 : x
  2. Step 2: Convert to fraction form
    212.82/293.58 = 139.10/x
  3. Step 3: Cross multiply
    212.82x = 293.58 × 139.10
  4. Step 4: Simplify right side
    212.82x = 40,836.98
  5. Step 5: Solve for x
    x = 40,836.98/212.82
  6. Step 6: Final answer
    x = 191.89

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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.