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Finding the Fourth Proportional to 208.67, 313.05 and 78.72

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Solution

The fourth proportional to 208.67, 313.05 and 78.72 is: 118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.67 : 313.05 = 78.72 : x
  2. Step 2: Convert to fraction form
    208.67/313.05 = 78.72/x
  3. Step 3: Cross multiply
    208.67x = 313.05 × 78.72
  4. Step 4: Simplify right side
    208.67x = 24,643.30
  5. Step 5: Solve for x
    x = 24,643.30/208.67
  6. Step 6: Final answer
    x = 118.10

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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.