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Finding the Fourth Proportional to 252.99, 379.55 and 209.45

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Solution

The fourth proportional to 252.99, 379.55 and 209.45 is: 314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.99 : 379.55 = 209.45 : x
  2. Step 2: Convert to fraction form
    252.99/379.55 = 209.45/x
  3. Step 3: Cross multiply
    252.99x = 379.55 × 209.45
  4. Step 4: Simplify right side
    252.99x = 79,496.75
  5. Step 5: Solve for x
    x = 79,496.75/252.99
  6. Step 6: Final answer
    x = 314.23

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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.