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Finding the Fourth Proportional to 184.39, 276.90 and 177.04

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Solution

The fourth proportional to 184.39, 276.90 and 177.04 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.39 : 276.90 = 177.04 : x
  2. Step 2: Convert to fraction form
    184.39/276.90 = 177.04/x
  3. Step 3: Cross multiply
    184.39x = 276.90 × 177.04
  4. Step 4: Simplify right side
    184.39x = 49,021.50
  5. Step 5: Solve for x
    x = 49,021.50/184.39
  6. Step 6: Final answer
    x = 265.85

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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.