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Finding the Fourth Proportional to 252.69, 379.10 and 137.08

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Solution

The fourth proportional to 252.69, 379.10 and 137.08 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.69 : 379.10 = 137.08 : x
  2. Step 2: Convert to fraction form
    252.69/379.10 = 137.08/x
  3. Step 3: Cross multiply
    252.69x = 379.10 × 137.08
  4. Step 4: Simplify right side
    252.69x = 51,967.03
  5. Step 5: Solve for x
    x = 51,967.03/252.69
  6. Step 6: Final answer
    x = 205.66

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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.