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Finding the Fourth Proportional to 252.45, 347.90 and 208.04

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Solution

The fourth proportional to 252.45, 347.90 and 208.04 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.45 : 347.90 = 208.04 : x
  2. Step 2: Convert to fraction form
    252.45/347.90 = 208.04/x
  3. Step 3: Cross multiply
    252.45x = 347.90 × 208.04
  4. Step 4: Simplify right side
    252.45x = 72,374.34
  5. Step 5: Solve for x
    x = 72,374.34/252.45
  6. Step 6: Final answer
    x = 286.69

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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.