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Finding the Fourth Proportional to 184, 276.40 and 140.52

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Solution

The fourth proportional to 184, 276.40 and 140.52 is: 211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184 : 276.40 = 140.52 : x
  2. Step 2: Convert to fraction form
    184/276.40 = 140.52/x
  3. Step 3: Cross multiply
    184x = 276.40 × 140.52
  4. Step 4: Simplify right side
    184x = 38,839.73
  5. Step 5: Solve for x
    x = 38,839.73/184
  6. Step 6: Final answer
    x = 211.09

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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.