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Finding the Fourth Proportional to 208.28, 312.40 and 78.28

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Solution

The fourth proportional to 208.28, 312.40 and 78.28 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 312.40 = 78.28 : x
  2. Step 2: Convert to fraction form
    208.28/312.40 = 78.28/x
  3. Step 3: Cross multiply
    208.28x = 312.40 × 78.28
  4. Step 4: Simplify right side
    208.28x = 24,454.67
  5. Step 5: Solve for x
    x = 24,454.67/208.28
  6. Step 6: Final answer
    x = 117.41

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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.