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Finding the Fourth Proportional to 213.50, 319.80 and 103.65

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Solution

The fourth proportional to 213.50, 319.80 and 103.65 is: 155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 319.80 = 103.65 : x
  2. Step 2: Convert to fraction form
    213.50/319.80 = 103.65/x
  3. Step 3: Cross multiply
    213.50x = 319.80 × 103.65
  4. Step 4: Simplify right side
    213.50x = 33,147.68
  5. Step 5: Solve for x
    x = 33,147.68/213.50
  6. Step 6: Final answer
    x = 155.26

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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.