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Finding the Fourth Proportional to 234.84, 349.80 and 229.44

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Solution

The fourth proportional to 234.84, 349.80 and 229.44 is: 341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 349.80 = 229.44 : x
  2. Step 2: Convert to fraction form
    234.84/349.80 = 229.44/x
  3. Step 3: Cross multiply
    234.84x = 349.80 × 229.44
  4. Step 4: Simplify right side
    234.84x = 80,258.11
  5. Step 5: Solve for x
    x = 80,258.11/234.84
  6. Step 6: Final answer
    x = 341.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.