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Finding the Fourth Proportional to 234.24, 323.14 and 156.68

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Solution

The fourth proportional to 234.24, 323.14 and 156.68 is: 216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.24 : 323.14 = 156.68 : x
  2. Step 2: Convert to fraction form
    234.24/323.14 = 156.68/x
  3. Step 3: Cross multiply
    234.24x = 323.14 × 156.68
  4. Step 4: Simplify right side
    234.24x = 50,629.58
  5. Step 5: Solve for x
    x = 50,629.58/234.24
  6. Step 6: Final answer
    x = 216.14

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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.