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Finding the Fourth Proportional to 212.56, 293.16 and 211.48

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Solution

The fourth proportional to 212.56, 293.16 and 211.48 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.56 : 293.16 = 211.48 : x
  2. Step 2: Convert to fraction form
    212.56/293.16 = 211.48/x
  3. Step 3: Cross multiply
    212.56x = 293.16 × 211.48
  4. Step 4: Simplify right side
    212.56x = 61,997.48
  5. Step 5: Solve for x
    x = 61,997.48/212.56
  6. Step 6: Final answer
    x = 291.67

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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.