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Finding the Fourth Proportional to 184.11, 275.08 and 177.73

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Solution

The fourth proportional to 184.11, 275.08 and 177.73 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.11 : 275.08 = 177.73 : x
  2. Step 2: Convert to fraction form
    184.11/275.08 = 177.73/x
  3. Step 3: Cross multiply
    184.11x = 275.08 × 177.73
  4. Step 4: Simplify right side
    184.11x = 48,887.70
  5. Step 5: Solve for x
    x = 48,887.70/184.11
  6. Step 6: Final answer
    x = 265.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.