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Finding the Fourth Proportional to 184.45, 275.36 and 178.04

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Solution

The fourth proportional to 184.45, 275.36 and 178.04 is: 265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.45 : 275.36 = 178.04 : x
  2. Step 2: Convert to fraction form
    184.45/275.36 = 178.04/x
  3. Step 3: Cross multiply
    184.45x = 275.36 × 178.04
  4. Step 4: Simplify right side
    184.45x = 49,025.09
  5. Step 5: Solve for x
    x = 49,025.09/184.45
  6. Step 6: Final answer
    x = 265.79

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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.