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Finding the Fourth Proportional to 184.81, 254.96 and 114.92

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Solution

The fourth proportional to 184.81, 254.96 and 114.92 is: 158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.81 : 254.96 = 114.92 : x
  2. Step 2: Convert to fraction form
    184.81/254.96 = 114.92/x
  3. Step 3: Cross multiply
    184.81x = 254.96 × 114.92
  4. Step 4: Simplify right side
    184.81x = 29,300.00
  5. Step 5: Solve for x
    x = 29,300.00/184.81
  6. Step 6: Final answer
    x = 158.55

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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.