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Finding the Fourth Proportional to 184.61, 276.72 and 123.77

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Solution

The fourth proportional to 184.61, 276.72 and 123.77 is: 185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.61 : 276.72 = 123.77 : x
  2. Step 2: Convert to fraction form
    184.61/276.72 = 123.77/x
  3. Step 3: Cross multiply
    184.61x = 276.72 × 123.77
  4. Step 4: Simplify right side
    184.61x = 34,249.63
  5. Step 5: Solve for x
    x = 34,249.63/184.61
  6. Step 6: Final answer
    x = 185.52

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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.