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Finding the Fourth Proportional to 299.04, 448.38 and 154.56

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Solution

The fourth proportional to 299.04, 448.38 and 154.56 is: 231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 448.38 = 154.56 : x
  2. Step 2: Convert to fraction form
    299.04/448.38 = 154.56/x
  3. Step 3: Cross multiply
    299.04x = 448.38 × 154.56
  4. Step 4: Simplify right side
    299.04x = 69,301.61
  5. Step 5: Solve for x
    x = 69,301.61/299.04
  6. Step 6: Final answer
    x = 231.75

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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.