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Finding the Fourth Proportional to 208.54, 312.95 and 78.66

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Solution

The fourth proportional to 208.54, 312.95 and 78.66 is: 118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 312.95 = 78.66 : x
  2. Step 2: Convert to fraction form
    208.54/312.95 = 78.66/x
  3. Step 3: Cross multiply
    208.54x = 312.95 × 78.66
  4. Step 4: Simplify right side
    208.54x = 24,616.65
  5. Step 5: Solve for x
    x = 24,616.65/208.54
  6. Step 6: Final answer
    x = 118.04

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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.