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Finding the Fourth Proportional to 184.36, 254.36 and 126.04

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Solution

The fourth proportional to 184.36, 254.36 and 126.04 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.36 : 254.36 = 126.04 : x
  2. Step 2: Convert to fraction form
    184.36/254.36 = 126.04/x
  3. Step 3: Cross multiply
    184.36x = 254.36 × 126.04
  4. Step 4: Simplify right side
    184.36x = 32,059.53
  5. Step 5: Solve for x
    x = 32,059.53/184.36
  6. Step 6: Final answer
    x = 173.90

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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.