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Finding the Fourth Proportional to 211.94, 318.04 and 83.69

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Solution

The fourth proportional to 211.94, 318.04 and 83.69 is: 125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 318.04 = 83.69 : x
  2. Step 2: Convert to fraction form
    211.94/318.04 = 83.69/x
  3. Step 3: Cross multiply
    211.94x = 318.04 × 83.69
  4. Step 4: Simplify right side
    211.94x = 26,616.77
  5. Step 5: Solve for x
    x = 26,616.77/211.94
  6. Step 6: Final answer
    x = 125.59

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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.