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Finding the Fourth Proportional to 208.30, 312.05 and 116.72

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Solution

The fourth proportional to 208.30, 312.05 and 116.72 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.30 : 312.05 = 116.72 : x
  2. Step 2: Convert to fraction form
    208.30/312.05 = 116.72/x
  3. Step 3: Cross multiply
    208.30x = 312.05 × 116.72
  4. Step 4: Simplify right side
    208.30x = 36,420.33
  5. Step 5: Solve for x
    x = 36,420.33/208.30
  6. Step 6: Final answer
    x = 174.85

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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.