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Finding the Fourth Proportional to 208.58, 312.96 and 193.10

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Solution

The fourth proportional to 208.58, 312.96 and 193.10 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.58 : 312.96 = 193.10 : x
  2. Step 2: Convert to fraction form
    208.58/312.96 = 193.10/x
  3. Step 3: Cross multiply
    208.58x = 312.96 × 193.10
  4. Step 4: Simplify right side
    208.58x = 60,432.58
  5. Step 5: Solve for x
    x = 60,432.58/208.58
  6. Step 6: Final answer
    x = 289.73

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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.