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Finding the Fourth Proportional to 184.74, 277.12 and 76.40

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Solution

The fourth proportional to 184.74, 277.12 and 76.40 is: 114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 277.12 = 76.40 : x
  2. Step 2: Convert to fraction form
    184.74/277.12 = 76.40/x
  3. Step 3: Cross multiply
    184.74x = 277.12 × 76.40
  4. Step 4: Simplify right side
    184.74x = 21,171.97
  5. Step 5: Solve for x
    x = 21,171.97/184.74
  6. Step 6: Final answer
    x = 114.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.