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Finding the Fourth Proportional to 212.27, 317.87 and 180.02

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Solution

The fourth proportional to 212.27, 317.87 and 180.02 is: 269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.27 : 317.87 = 180.02 : x
  2. Step 2: Convert to fraction form
    212.27/317.87 = 180.02/x
  3. Step 3: Cross multiply
    212.27x = 317.87 × 180.02
  4. Step 4: Simplify right side
    212.27x = 57,224.54
  5. Step 5: Solve for x
    x = 57,224.54/212.27
  6. Step 6: Final answer
    x = 269.58

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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.