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Finding the Fourth Proportional to 208.16, 312.38 and 116.80

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Solution

The fourth proportional to 208.16, 312.38 and 116.80 is: 175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 312.38 = 116.80 : x
  2. Step 2: Convert to fraction form
    208.16/312.38 = 116.80/x
  3. Step 3: Cross multiply
    208.16x = 312.38 × 116.80
  4. Step 4: Simplify right side
    208.16x = 36,485.98
  5. Step 5: Solve for x
    x = 36,485.98/208.16
  6. Step 6: Final answer
    x = 175.28

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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.