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Finding the Fourth Proportional to 299.50, 448.97 and 184.00

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Solution

The fourth proportional to 299.50, 448.97 and 184.00 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 448.97 = 184.00 : x
  2. Step 2: Convert to fraction form
    299.50/448.97 = 184.00/x
  3. Step 3: Cross multiply
    299.50x = 448.97 × 184.00
  4. Step 4: Simplify right side
    299.50x = 82,608.53
  5. Step 5: Solve for x
    x = 82,608.53/299.50
  6. Step 6: Final answer
    x = 275.82

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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.