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Finding the Fourth Proportional to 257.32, 354.84 and 208.12

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Solution

The fourth proportional to 257.32, 354.84 and 208.12 is: 286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.32 : 354.84 = 208.12 : x
  2. Step 2: Convert to fraction form
    257.32/354.84 = 208.12/x
  3. Step 3: Cross multiply
    257.32x = 354.84 × 208.12
  4. Step 4: Simplify right side
    257.32x = 73,849.30
  5. Step 5: Solve for x
    x = 73,849.30/257.32
  6. Step 6: Final answer
    x = 286.99

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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.