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Finding the Fourth Proportional to 212.54, 318.80 and 82.57

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Solution

The fourth proportional to 212.54, 318.80 and 82.57 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.54 : 318.80 = 82.57 : x
  2. Step 2: Convert to fraction form
    212.54/318.80 = 82.57/x
  3. Step 3: Cross multiply
    212.54x = 318.80 × 82.57
  4. Step 4: Simplify right side
    212.54x = 26,321.31
  5. Step 5: Solve for x
    x = 26,321.31/212.54
  6. Step 6: Final answer
    x = 123.84

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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.