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Finding the Fourth Proportional to 248.69, 372.46 and 213.59

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Solution

The fourth proportional to 248.69, 372.46 and 213.59 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.69 : 372.46 = 213.59 : x
  2. Step 2: Convert to fraction form
    248.69/372.46 = 213.59/x
  3. Step 3: Cross multiply
    248.69x = 372.46 × 213.59
  4. Step 4: Simplify right side
    248.69x = 79,550.80
  5. Step 5: Solve for x
    x = 79,550.80/248.69
  6. Step 6: Final answer
    x = 319.89

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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.