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Finding the Fourth Proportional to 252.50, 378 and 208.98

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Solution

The fourth proportional to 252.50, 378 and 208.98 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 378 = 208.98 : x
  2. Step 2: Convert to fraction form
    252.50/378 = 208.98/x
  3. Step 3: Cross multiply
    252.50x = 378 × 208.98
  4. Step 4: Simplify right side
    252.50x = 78,994.44
  5. Step 5: Solve for x
    x = 78,994.44/252.50
  6. Step 6: Final answer
    x = 312.86

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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.