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Finding the Fourth Proportional to 184.73, 277.09 and 47.77

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Solution

The fourth proportional to 184.73, 277.09 and 47.77 is: 71.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.73 : 277.09 = 47.77 : x
  2. Step 2: Convert to fraction form
    184.73/277.09 = 47.77/x
  3. Step 3: Cross multiply
    184.73x = 277.09 × 47.77
  4. Step 4: Simplify right side
    184.73x = 13,237.64
  5. Step 5: Solve for x
    x = 13,237.64/184.73
  6. Step 6: Final answer
    x = 71.66

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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.