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Finding the Fourth Proportional to 184.35, 254.43 and 105.67

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Solution

The fourth proportional to 184.35, 254.43 and 105.67 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.35 : 254.43 = 105.67 : x
  2. Step 2: Convert to fraction form
    184.35/254.43 = 105.67/x
  3. Step 3: Cross multiply
    184.35x = 254.43 × 105.67
  4. Step 4: Simplify right side
    184.35x = 26,885.62
  5. Step 5: Solve for x
    x = 26,885.62/184.35
  6. Step 6: Final answer
    x = 145.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.