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Finding the Fourth Proportional to 184.50, 276.68 and 62.82

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Solution

The fourth proportional to 184.50, 276.68 and 62.82 is: 94.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 276.68 = 62.82 : x
  2. Step 2: Convert to fraction form
    184.50/276.68 = 62.82/x
  3. Step 3: Cross multiply
    184.50x = 276.68 × 62.82
  4. Step 4: Simplify right side
    184.50x = 17,381.04
  5. Step 5: Solve for x
    x = 17,381.04/184.50
  6. Step 6: Final answer
    x = 94.21

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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.