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Finding the Fourth Proportional to 234.86, 324.02 and 146.30

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Solution

The fourth proportional to 234.86, 324.02 and 146.30 is: 201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.86 : 324.02 = 146.30 : x
  2. Step 2: Convert to fraction form
    234.86/324.02 = 146.30/x
  3. Step 3: Cross multiply
    234.86x = 324.02 × 146.30
  4. Step 4: Simplify right side
    234.86x = 47,402.87
  5. Step 5: Solve for x
    x = 47,402.87/234.86
  6. Step 6: Final answer
    x = 201.84

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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.