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Finding the Fourth Proportional to 234.75, 349.86 and 232.84

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Solution

The fourth proportional to 234.75, 349.86 and 232.84 is: 347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.75 : 349.86 = 232.84 : x
  2. Step 2: Convert to fraction form
    234.75/349.86 = 232.84/x
  3. Step 3: Cross multiply
    234.75x = 349.86 × 232.84
  4. Step 4: Simplify right side
    234.75x = 81,461.40
  5. Step 5: Solve for x
    x = 81,461.40/234.75
  6. Step 6: Final answer
    x = 347.01

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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.