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Finding the Fourth Proportional to 184.59, 254.73 and 105.90

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Solution

The fourth proportional to 184.59, 254.73 and 105.90 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.59 : 254.73 = 105.90 : x
  2. Step 2: Convert to fraction form
    184.59/254.73 = 105.90/x
  3. Step 3: Cross multiply
    184.59x = 254.73 × 105.90
  4. Step 4: Simplify right side
    184.59x = 26,975.91
  5. Step 5: Solve for x
    x = 26,975.91/184.59
  6. Step 6: Final answer
    x = 146.14

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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.