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Finding the Fourth Proportional to 183.84, 276.06 and 130.14

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Solution

The fourth proportional to 183.84, 276.06 and 130.14 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 276.06 = 130.14 : x
  2. Step 2: Convert to fraction form
    183.84/276.06 = 130.14/x
  3. Step 3: Cross multiply
    183.84x = 276.06 × 130.14
  4. Step 4: Simplify right side
    183.84x = 35,926.45
  5. Step 5: Solve for x
    x = 35,926.45/183.84
  6. Step 6: Final answer
    x = 195.42

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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.