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Finding the Fourth Proportional to 184.36, 277.16 and 169.96

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Solution

The fourth proportional to 184.36, 277.16 and 169.96 is: 255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.36 : 277.16 = 169.96 : x
  2. Step 2: Convert to fraction form
    184.36/277.16 = 169.96/x
  3. Step 3: Cross multiply
    184.36x = 277.16 × 169.96
  4. Step 4: Simplify right side
    184.36x = 47,106.11
  5. Step 5: Solve for x
    x = 47,106.11/184.36
  6. Step 6: Final answer
    x = 255.51

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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.