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Finding the Fourth Proportional to 207.94, 312.06 and 78.06

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Solution

The fourth proportional to 207.94, 312.06 and 78.06 is: 117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 312.06 = 78.06 : x
  2. Step 2: Convert to fraction form
    207.94/312.06 = 78.06/x
  3. Step 3: Cross multiply
    207.94x = 312.06 × 78.06
  4. Step 4: Simplify right side
    207.94x = 24,359.40
  5. Step 5: Solve for x
    x = 24,359.40/207.94
  6. Step 6: Final answer
    x = 117.15

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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.