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Finding the Fourth Proportional to 278.17, 416.86 and 115.67

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Solution

The fourth proportional to 278.17, 416.86 and 115.67 is: 173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.17 : 416.86 = 115.67 : x
  2. Step 2: Convert to fraction form
    278.17/416.86 = 115.67/x
  3. Step 3: Cross multiply
    278.17x = 416.86 × 115.67
  4. Step 4: Simplify right side
    278.17x = 48,218.20
  5. Step 5: Solve for x
    x = 48,218.20/278.17
  6. Step 6: Final answer
    x = 173.34

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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.