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Finding the Fourth Proportional to 213.90, 294.92 and 180.65

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Solution

The fourth proportional to 213.90, 294.92 and 180.65 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 294.92 = 180.65 : x
  2. Step 2: Convert to fraction form
    213.90/294.92 = 180.65/x
  3. Step 3: Cross multiply
    213.90x = 294.92 × 180.65
  4. Step 4: Simplify right side
    213.90x = 53,277.60
  5. Step 5: Solve for x
    x = 53,277.60/213.90
  6. Step 6: Final answer
    x = 249.08

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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.