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Finding the Fourth Proportional to 184.47, 276.80 and 86.91

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Solution

The fourth proportional to 184.47, 276.80 and 86.91 is: 130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.47 : 276.80 = 86.91 : x
  2. Step 2: Convert to fraction form
    184.47/276.80 = 86.91/x
  3. Step 3: Cross multiply
    184.47x = 276.80 × 86.91
  4. Step 4: Simplify right side
    184.47x = 24,056.25
  5. Step 5: Solve for x
    x = 24,056.25/184.47
  6. Step 6: Final answer
    x = 130.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.