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Finding the Fourth Proportional to 275.02, 411.96 and 138.04

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Solution

The fourth proportional to 275.02, 411.96 and 138.04 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 411.96 = 138.04 : x
  2. Step 2: Convert to fraction form
    275.02/411.96 = 138.04/x
  3. Step 3: Cross multiply
    275.02x = 411.96 × 138.04
  4. Step 4: Simplify right side
    275.02x = 56,866.96
  5. Step 5: Solve for x
    x = 56,866.96/275.02
  6. Step 6: Final answer
    x = 206.77

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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.