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Finding the Fourth Proportional to 184.69, 278.39 and 180.55

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Solution

The fourth proportional to 184.69, 278.39 and 180.55 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.69 : 278.39 = 180.55 : x
  2. Step 2: Convert to fraction form
    184.69/278.39 = 180.55/x
  3. Step 3: Cross multiply
    184.69x = 278.39 × 180.55
  4. Step 4: Simplify right side
    184.69x = 50,263.31
  5. Step 5: Solve for x
    x = 50,263.31/184.69
  6. Step 6: Final answer
    x = 272.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.