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Finding the Fourth Proportional to 184.48, 276.55 and 97.84

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Solution

The fourth proportional to 184.48, 276.55 and 97.84 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.48 : 276.55 = 97.84 : x
  2. Step 2: Convert to fraction form
    184.48/276.55 = 97.84/x
  3. Step 3: Cross multiply
    184.48x = 276.55 × 97.84
  4. Step 4: Simplify right side
    184.48x = 27,057.75
  5. Step 5: Solve for x
    x = 27,057.75/184.48
  6. Step 6: Final answer
    x = 146.67

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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.