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Finding the Fourth Proportional to 298.78, 448.14 and 82.34

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Solution

The fourth proportional to 298.78, 448.14 and 82.34 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.78 : 448.14 = 82.34 : x
  2. Step 2: Convert to fraction form
    298.78/448.14 = 82.34/x
  3. Step 3: Cross multiply
    298.78x = 448.14 × 82.34
  4. Step 4: Simplify right side
    298.78x = 36,899.85
  5. Step 5: Solve for x
    x = 36,899.85/298.78
  6. Step 6: Final answer
    x = 123.50

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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.