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Finding the Fourth Proportional to 298.46, 447.42 and 153.88

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Solution

The fourth proportional to 298.46, 447.42 and 153.88 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.46 : 447.42 = 153.88 : x
  2. Step 2: Convert to fraction form
    298.46/447.42 = 153.88/x
  3. Step 3: Cross multiply
    298.46x = 447.42 × 153.88
  4. Step 4: Simplify right side
    298.46x = 68,848.99
  5. Step 5: Solve for x
    x = 68,848.99/298.46
  6. Step 6: Final answer
    x = 230.68

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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.