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Finding the Fourth Proportional to 212.09, 318.04 and 65.80

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Solution

The fourth proportional to 212.09, 318.04 and 65.80 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 318.04 = 65.80 : x
  2. Step 2: Convert to fraction form
    212.09/318.04 = 65.80/x
  3. Step 3: Cross multiply
    212.09x = 318.04 × 65.80
  4. Step 4: Simplify right side
    212.09x = 20,926.07
  5. Step 5: Solve for x
    x = 20,926.07/212.09
  6. Step 6: Final answer
    x = 98.67

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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.