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Finding the Fourth Proportional to 298.96, 448.42 and 82.53

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Solution

The fourth proportional to 298.96, 448.42 and 82.53 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 448.42 = 82.53 : x
  2. Step 2: Convert to fraction form
    298.96/448.42 = 82.53/x
  3. Step 3: Cross multiply
    298.96x = 448.42 × 82.53
  4. Step 4: Simplify right side
    298.96x = 37,007.90
  5. Step 5: Solve for x
    x = 37,007.90/298.96
  6. Step 6: Final answer
    x = 123.79

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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.