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Finding the Fourth Proportional to 253.68, 349.95 and 209.49

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Solution

The fourth proportional to 253.68, 349.95 and 209.49 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.68 : 349.95 = 209.49 : x
  2. Step 2: Convert to fraction form
    253.68/349.95 = 209.49/x
  3. Step 3: Cross multiply
    253.68x = 349.95 × 209.49
  4. Step 4: Simplify right side
    253.68x = 73,311.03
  5. Step 5: Solve for x
    x = 73,311.03/253.68
  6. Step 6: Final answer
    x = 288.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.