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Finding the Fourth Proportional to 212.33, 318.65 and 75.49

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Solution

The fourth proportional to 212.33, 318.65 and 75.49 is: 113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.33 : 318.65 = 75.49 : x
  2. Step 2: Convert to fraction form
    212.33/318.65 = 75.49/x
  3. Step 3: Cross multiply
    212.33x = 318.65 × 75.49
  4. Step 4: Simplify right side
    212.33x = 24,052.92
  5. Step 5: Solve for x
    x = 24,052.92/212.33
  6. Step 6: Final answer
    x = 113.28

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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.