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Finding the Fourth Proportional to 184.74, 277.53 and 112.74

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Solution

The fourth proportional to 184.74, 277.53 and 112.74 is: 169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 277.53 = 112.74 : x
  2. Step 2: Convert to fraction form
    184.74/277.53 = 112.74/x
  3. Step 3: Cross multiply
    184.74x = 277.53 × 112.74
  4. Step 4: Simplify right side
    184.74x = 31,288.73
  5. Step 5: Solve for x
    x = 31,288.73/184.74
  6. Step 6: Final answer
    x = 169.37

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Why These Related Problems?

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