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Finding the Fourth Proportional to 184.13, 275.93 and 111.82

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Solution

The fourth proportional to 184.13, 275.93 and 111.82 is: 167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.13 : 275.93 = 111.82 : x
  2. Step 2: Convert to fraction form
    184.13/275.93 = 111.82/x
  3. Step 3: Cross multiply
    184.13x = 275.93 × 111.82
  4. Step 4: Simplify right side
    184.13x = 30,852.55
  5. Step 5: Solve for x
    x = 30,852.55/184.13
  6. Step 6: Final answer
    x = 167.56

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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.