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Finding the Fourth Proportional to 184.11, 275.86 and 111.84

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Solution

The fourth proportional to 184.11, 275.86 and 111.84 is: 167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.11 : 275.86 = 111.84 : x
  2. Step 2: Convert to fraction form
    184.11/275.86 = 111.84/x
  3. Step 3: Cross multiply
    184.11x = 275.86 × 111.84
  4. Step 4: Simplify right side
    184.11x = 30,852.18
  5. Step 5: Solve for x
    x = 30,852.18/184.11
  6. Step 6: Final answer
    x = 167.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.