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Finding the Fourth Proportional to 234.90, 322.07 and 230.82

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Solution

The fourth proportional to 234.90, 322.07 and 230.82 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 322.07 = 230.82 : x
  2. Step 2: Convert to fraction form
    234.90/322.07 = 230.82/x
  3. Step 3: Cross multiply
    234.90x = 322.07 × 230.82
  4. Step 4: Simplify right side
    234.90x = 74,339.04
  5. Step 5: Solve for x
    x = 74,339.04/234.90
  6. Step 6: Final answer
    x = 316.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.