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Finding the Fourth Proportional to 354.88, 532.41 and 208.75

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Solution

The fourth proportional to 354.88, 532.41 and 208.75 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.88 : 532.41 = 208.75 : x
  2. Step 2: Convert to fraction form
    354.88/532.41 = 208.75/x
  3. Step 3: Cross multiply
    354.88x = 532.41 × 208.75
  4. Step 4: Simplify right side
    354.88x = 111,138.72
  5. Step 5: Solve for x
    x = 111,138.72/354.88
  6. Step 6: Final answer
    x = 313.18

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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.