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Finding the Fourth Proportional to 184.12, 254.02 and 110.46

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Solution

The fourth proportional to 184.12, 254.02 and 110.46 is: 152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.12 : 254.02 = 110.46 : x
  2. Step 2: Convert to fraction form
    184.12/254.02 = 110.46/x
  3. Step 3: Cross multiply
    184.12x = 254.02 × 110.46
  4. Step 4: Simplify right side
    184.12x = 28,058.14
  5. Step 5: Solve for x
    x = 28,058.14/184.12
  6. Step 6: Final answer
    x = 152.39

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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.