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Finding the Fourth Proportional to 212.45, 318.69 and 82.49

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Solution

The fourth proportional to 212.45, 318.69 and 82.49 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.45 : 318.69 = 82.49 : x
  2. Step 2: Convert to fraction form
    212.45/318.69 = 82.49/x
  3. Step 3: Cross multiply
    212.45x = 318.69 × 82.49
  4. Step 4: Simplify right side
    212.45x = 26,287.14
  5. Step 5: Solve for x
    x = 26,287.14/212.45
  6. Step 6: Final answer
    x = 123.74

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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.