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Finding the Fourth Proportional to 212.93, 293.51 and 139.11

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Solution

The fourth proportional to 212.93, 293.51 and 139.11 is: 191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 293.51 = 139.11 : x
  2. Step 2: Convert to fraction form
    212.93/293.51 = 139.11/x
  3. Step 3: Cross multiply
    212.93x = 293.51 × 139.11
  4. Step 4: Simplify right side
    212.93x = 40,829.48
  5. Step 5: Solve for x
    x = 40,829.48/212.93
  6. Step 6: Final answer
    x = 191.76

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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.