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Finding the Fourth Proportional to 184.59, 276.87 and 47.64

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Solution

The fourth proportional to 184.59, 276.87 and 47.64 is: 71.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.59 : 276.87 = 47.64 : x
  2. Step 2: Convert to fraction form
    184.59/276.87 = 47.64/x
  3. Step 3: Cross multiply
    184.59x = 276.87 × 47.64
  4. Step 4: Simplify right side
    184.59x = 13,190.09
  5. Step 5: Solve for x
    x = 13,190.09/184.59
  6. Step 6: Final answer
    x = 71.46

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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.