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Finding the Fourth Proportional to 213.57, 294.84 and 180.77

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Solution

The fourth proportional to 213.57, 294.84 and 180.77 is: 249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 294.84 = 180.77 : x
  2. Step 2: Convert to fraction form
    213.57/294.84 = 180.77/x
  3. Step 3: Cross multiply
    213.57x = 294.84 × 180.77
  4. Step 4: Simplify right side
    213.57x = 53,296.75
  5. Step 5: Solve for x
    x = 53,296.75/213.57
  6. Step 6: Final answer
    x = 249.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.