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Finding the Fourth Proportional to 234.77, 324.01 and 176.45

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Solution

The fourth proportional to 234.77, 324.01 and 176.45 is: 243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 324.01 = 176.45 : x
  2. Step 2: Convert to fraction form
    234.77/324.01 = 176.45/x
  3. Step 3: Cross multiply
    234.77x = 324.01 × 176.45
  4. Step 4: Simplify right side
    234.77x = 57,171.56
  5. Step 5: Solve for x
    x = 57,171.56/234.77
  6. Step 6: Final answer
    x = 243.52

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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.