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Finding the Fourth Proportional to 234.00, 322.48 and 167.50

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Solution

The fourth proportional to 234.00, 322.48 and 167.50 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.00 : 322.48 = 167.50 : x
  2. Step 2: Convert to fraction form
    234.00/322.48 = 167.50/x
  3. Step 3: Cross multiply
    234.00x = 322.48 × 167.50
  4. Step 4: Simplify right side
    234.00x = 54,013.85
  5. Step 5: Solve for x
    x = 54,013.85/234.00
  6. Step 6: Final answer
    x = 230.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.