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Finding the Fourth Proportional to 234.22, 320.68 and 232

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Solution

The fourth proportional to 234.22, 320.68 and 232 is: 317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.22 : 320.68 = 232 : x
  2. Step 2: Convert to fraction form
    234.22/320.68 = 232/x
  3. Step 3: Cross multiply
    234.22x = 320.68 × 232
  4. Step 4: Simplify right side
    234.22x = 74,397.76
  5. Step 5: Solve for x
    x = 74,397.76/234.22
  6. Step 6: Final answer
    x = 317.64

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Why These Related Problems?

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