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Finding the Fourth Proportional to 212.23, 293.01 and 138.76

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Solution

The fourth proportional to 212.23, 293.01 and 138.76 is: 191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.23 : 293.01 = 138.76 : x
  2. Step 2: Convert to fraction form
    212.23/293.01 = 138.76/x
  3. Step 3: Cross multiply
    212.23x = 293.01 × 138.76
  4. Step 4: Simplify right side
    212.23x = 40,656.81
  5. Step 5: Solve for x
    x = 40,656.81/212.23
  6. Step 6: Final answer
    x = 191.57

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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.