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Finding the Fourth Proportional to 184.66, 254.83 and 111.03

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Solution

The fourth proportional to 184.66, 254.83 and 111.03 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.66 : 254.83 = 111.03 : x
  2. Step 2: Convert to fraction form
    184.66/254.83 = 111.03/x
  3. Step 3: Cross multiply
    184.66x = 254.83 × 111.03
  4. Step 4: Simplify right side
    184.66x = 28,292.50
  5. Step 5: Solve for x
    x = 28,292.50/184.66
  6. Step 6: Final answer
    x = 153.21

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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.