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Finding the Fourth Proportional to 299.52, 450.08 and 184

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Solution

The fourth proportional to 299.52, 450.08 and 184 is: 276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 450.08 = 184 : x
  2. Step 2: Convert to fraction form
    299.52/450.08 = 184/x
  3. Step 3: Cross multiply
    299.52x = 450.08 × 184
  4. Step 4: Simplify right side
    299.52x = 82,814.72
  5. Step 5: Solve for x
    x = 82,814.72/299.52
  6. Step 6: Final answer
    x = 276.49

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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.