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Finding the Fourth Proportional to 184.79, 276.85 and 133.36

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Solution

The fourth proportional to 184.79, 276.85 and 133.36 is: 199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.79 : 276.85 = 133.36 : x
  2. Step 2: Convert to fraction form
    184.79/276.85 = 133.36/x
  3. Step 3: Cross multiply
    184.79x = 276.85 × 133.36
  4. Step 4: Simplify right side
    184.79x = 36,920.72
  5. Step 5: Solve for x
    x = 36,920.72/184.79
  6. Step 6: Final answer
    x = 199.80

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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.