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Finding the Fourth Proportional to 298.53, 447.89 and 154.14

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Solution

The fourth proportional to 298.53, 447.89 and 154.14 is: 231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 447.89 = 154.14 : x
  2. Step 2: Convert to fraction form
    298.53/447.89 = 154.14/x
  3. Step 3: Cross multiply
    298.53x = 447.89 × 154.14
  4. Step 4: Simplify right side
    298.53x = 69,036.99
  5. Step 5: Solve for x
    x = 69,036.99/298.53
  6. Step 6: Final answer
    x = 231.26

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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.