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Finding the Fourth Proportional to 184.68, 278.37 and 180.36

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Solution

The fourth proportional to 184.68, 278.37 and 180.36 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 278.37 = 180.36 : x
  2. Step 2: Convert to fraction form
    184.68/278.37 = 180.36/x
  3. Step 3: Cross multiply
    184.68x = 278.37 × 180.36
  4. Step 4: Simplify right side
    184.68x = 50,206.81
  5. Step 5: Solve for x
    x = 50,206.81/184.68
  6. Step 6: Final answer
    x = 271.86

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