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Finding the Fourth Proportional to 275.90, 412.92 and 184.56

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Solution

The fourth proportional to 275.90, 412.92 and 184.56 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.90 : 412.92 = 184.56 : x
  2. Step 2: Convert to fraction form
    275.90/412.92 = 184.56/x
  3. Step 3: Cross multiply
    275.90x = 412.92 × 184.56
  4. Step 4: Simplify right side
    275.90x = 76,208.52
  5. Step 5: Solve for x
    x = 76,208.52/275.90
  6. Step 6: Final answer
    x = 276.22

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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.