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Finding the Fourth Proportional to 212.10, 317.94 and 83.76

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Solution

The fourth proportional to 212.10, 317.94 and 83.76 is: 125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 317.94 = 83.76 : x
  2. Step 2: Convert to fraction form
    212.10/317.94 = 83.76/x
  3. Step 3: Cross multiply
    212.10x = 317.94 × 83.76
  4. Step 4: Simplify right side
    212.10x = 26,630.65
  5. Step 5: Solve for x
    x = 26,630.65/212.10
  6. Step 6: Final answer
    x = 125.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.