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Finding the Fourth Proportional to 212.78, 319.16 and 180.57

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Solution

The fourth proportional to 212.78, 319.16 and 180.57 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.78 : 319.16 = 180.57 : x
  2. Step 2: Convert to fraction form
    212.78/319.16 = 180.57/x
  3. Step 3: Cross multiply
    212.78x = 319.16 × 180.57
  4. Step 4: Simplify right side
    212.78x = 57,629.82
  5. Step 5: Solve for x
    x = 57,629.82/212.78
  6. Step 6: Final answer
    x = 270.85

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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.