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Finding the Fourth Proportional to 184.05, 255.17 and 174.81

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Solution

The fourth proportional to 184.05, 255.17 and 174.81 is: 242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.05 : 255.17 = 174.81 : x
  2. Step 2: Convert to fraction form
    184.05/255.17 = 174.81/x
  3. Step 3: Cross multiply
    184.05x = 255.17 × 174.81
  4. Step 4: Simplify right side
    184.05x = 44,605.39
  5. Step 5: Solve for x
    x = 44,605.39/184.05
  6. Step 6: Final answer
    x = 242.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.