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Finding the Fourth Proportional to 275.94, 414.12 and 139.11

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Solution

The fourth proportional to 275.94, 414.12 and 139.11 is: 208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 414.12 = 139.11 : x
  2. Step 2: Convert to fraction form
    275.94/414.12 = 139.11/x
  3. Step 3: Cross multiply
    275.94x = 414.12 × 139.11
  4. Step 4: Simplify right side
    275.94x = 57,607.20
  5. Step 5: Solve for x
    x = 57,607.20/275.94
  6. Step 6: Final answer
    x = 208.76

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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.