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Finding the Fourth Proportional to 212.63, 318.77 and 109.92

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Solution

The fourth proportional to 212.63, 318.77 and 109.92 is: 164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 318.77 = 109.92 : x
  2. Step 2: Convert to fraction form
    212.63/318.77 = 109.92/x
  3. Step 3: Cross multiply
    212.63x = 318.77 × 109.92
  4. Step 4: Simplify right side
    212.63x = 35,040.26
  5. Step 5: Solve for x
    x = 35,040.26/212.63
  6. Step 6: Final answer
    x = 164.80

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Why These Related Problems?

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