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Finding the Fourth Proportional to 234.23, 349.25 and 208.04

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Solution

The fourth proportional to 234.23, 349.25 and 208.04 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 349.25 = 208.04 : x
  2. Step 2: Convert to fraction form
    234.23/349.25 = 208.04/x
  3. Step 3: Cross multiply
    234.23x = 349.25 × 208.04
  4. Step 4: Simplify right side
    234.23x = 72,655.18
  5. Step 5: Solve for x
    x = 72,655.18/234.23
  6. Step 6: Final answer
    x = 310.19

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