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Finding the Fourth Proportional to 278.12, 416.94 and 107

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Solution

The fourth proportional to 278.12, 416.94 and 107 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 416.94 = 107 : x
  2. Step 2: Convert to fraction form
    278.12/416.94 = 107/x
  3. Step 3: Cross multiply
    278.12x = 416.94 × 107
  4. Step 4: Simplify right side
    278.12x = 44,612.58
  5. Step 5: Solve for x
    x = 44,612.58/278.12
  6. Step 6: Final answer
    x = 160.41

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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.