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Finding the Fourth Proportional to 253.74, 349.26 and 206.80

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Solution

The fourth proportional to 253.74, 349.26 and 206.80 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.74 : 349.26 = 206.80 : x
  2. Step 2: Convert to fraction form
    253.74/349.26 = 206.80/x
  3. Step 3: Cross multiply
    253.74x = 349.26 × 206.80
  4. Step 4: Simplify right side
    253.74x = 72,226.97
  5. Step 5: Solve for x
    x = 72,226.97/253.74
  6. Step 6: Final answer
    x = 284.65

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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.