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Finding the Fourth Proportional to 213.66, 319.86 and 122.07

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Solution

The fourth proportional to 213.66, 319.86 and 122.07 is: 182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 319.86 = 122.07 : x
  2. Step 2: Convert to fraction form
    213.66/319.86 = 122.07/x
  3. Step 3: Cross multiply
    213.66x = 319.86 × 122.07
  4. Step 4: Simplify right side
    213.66x = 39,045.31
  5. Step 5: Solve for x
    x = 39,045.31/213.66
  6. Step 6: Final answer
    x = 182.75

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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.