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Finding the Fourth Proportional to 184.95, 277.47 and 113.28

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Solution

The fourth proportional to 184.95, 277.47 and 113.28 is: 169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 277.47 = 113.28 : x
  2. Step 2: Convert to fraction form
    184.95/277.47 = 113.28/x
  3. Step 3: Cross multiply
    184.95x = 277.47 × 113.28
  4. Step 4: Simplify right side
    184.95x = 31,431.80
  5. Step 5: Solve for x
    x = 31,431.80/184.95
  6. Step 6: Final answer
    x = 169.95

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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.