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Finding the Fourth Proportional to 251.98, 378.00 and 78.66

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Solution

The fourth proportional to 251.98, 378.00 and 78.66 is: 117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.98 : 378.00 = 78.66 : x
  2. Step 2: Convert to fraction form
    251.98/378.00 = 78.66/x
  3. Step 3: Cross multiply
    251.98x = 378.00 × 78.66
  4. Step 4: Simplify right side
    251.98x = 29,731.20
  5. Step 5: Solve for x
    x = 29,731.20/251.98
  6. Step 6: Final answer
    x = 117.99

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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.