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Finding the Fourth Proportional to 213.52, 294.12 and 180.56

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Solution

The fourth proportional to 213.52, 294.12 and 180.56 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 294.12 = 180.56 : x
  2. Step 2: Convert to fraction form
    213.52/294.12 = 180.56/x
  3. Step 3: Cross multiply
    213.52x = 294.12 × 180.56
  4. Step 4: Simplify right side
    213.52x = 53,106.31
  5. Step 5: Solve for x
    x = 53,106.31/213.52
  6. Step 6: Final answer
    x = 248.72

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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.