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Finding the Fourth Proportional to 184.53, 254.64 and 105.86

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Solution

The fourth proportional to 184.53, 254.64 and 105.86 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.53 : 254.64 = 105.86 : x
  2. Step 2: Convert to fraction form
    184.53/254.64 = 105.86/x
  3. Step 3: Cross multiply
    184.53x = 254.64 × 105.86
  4. Step 4: Simplify right side
    184.53x = 26,954.92
  5. Step 5: Solve for x
    x = 26,954.92/184.53
  6. Step 6: Final answer
    x = 146.07

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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.