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Finding the Fourth Proportional to 184.92, 255.24 and 146.16

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Solution

The fourth proportional to 184.92, 255.24 and 146.16 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 255.24 = 146.16 : x
  2. Step 2: Convert to fraction form
    184.92/255.24 = 146.16/x
  3. Step 3: Cross multiply
    184.92x = 255.24 × 146.16
  4. Step 4: Simplify right side
    184.92x = 37,305.88
  5. Step 5: Solve for x
    x = 37,305.88/184.92
  6. Step 6: Final answer
    x = 201.74

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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.