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Finding the Fourth Proportional to 234.29, 348.96 and 233.13

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Solution

The fourth proportional to 234.29, 348.96 and 233.13 is: 347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.29 : 348.96 = 233.13 : x
  2. Step 2: Convert to fraction form
    234.29/348.96 = 233.13/x
  3. Step 3: Cross multiply
    234.29x = 348.96 × 233.13
  4. Step 4: Simplify right side
    234.29x = 81,351.95
  5. Step 5: Solve for x
    x = 81,351.95/234.29
  6. Step 6: Final answer
    x = 347.22

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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.