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Finding the Fourth Proportional to 253.56, 349.46 and 206.63

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Solution

The fourth proportional to 253.56, 349.46 and 206.63 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.56 : 349.46 = 206.63 : x
  2. Step 2: Convert to fraction form
    253.56/349.46 = 206.63/x
  3. Step 3: Cross multiply
    253.56x = 349.46 × 206.63
  4. Step 4: Simplify right side
    253.56x = 72,208.40
  5. Step 5: Solve for x
    x = 72,208.40/253.56
  6. Step 6: Final answer
    x = 284.78

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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.