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Finding the Fourth Proportional to 253.49, 380.21 and 209.75

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Solution

The fourth proportional to 253.49, 380.21 and 209.75 is: 314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 380.21 = 209.75 : x
  2. Step 2: Convert to fraction form
    253.49/380.21 = 209.75/x
  3. Step 3: Cross multiply
    253.49x = 380.21 × 209.75
  4. Step 4: Simplify right side
    253.49x = 79,749.05
  5. Step 5: Solve for x
    x = 79,749.05/253.49
  6. Step 6: Final answer
    x = 314.60

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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.