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Finding the Fourth Proportional to 212.44, 318.64 and 75.48

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Solution

The fourth proportional to 212.44, 318.64 and 75.48 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 318.64 = 75.48 : x
  2. Step 2: Convert to fraction form
    212.44/318.64 = 75.48/x
  3. Step 3: Cross multiply
    212.44x = 318.64 × 75.48
  4. Step 4: Simplify right side
    212.44x = 24,050.95
  5. Step 5: Solve for x
    x = 24,050.95/212.44
  6. Step 6: Final answer
    x = 113.21

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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.