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Finding the Fourth Proportional to 184.02, 275.76 and 115.44

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Solution

The fourth proportional to 184.02, 275.76 and 115.44 is: 172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 275.76 = 115.44 : x
  2. Step 2: Convert to fraction form
    184.02/275.76 = 115.44/x
  3. Step 3: Cross multiply
    184.02x = 275.76 × 115.44
  4. Step 4: Simplify right side
    184.02x = 31,833.73
  5. Step 5: Solve for x
    x = 31,833.73/184.02
  6. Step 6: Final answer
    x = 172.99

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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.