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Finding the Fourth Proportional to 234.72, 324 and 185.76

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Solution

The fourth proportional to 234.72, 324 and 185.76 is: 256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 324 = 185.76 : x
  2. Step 2: Convert to fraction form
    234.72/324 = 185.76/x
  3. Step 3: Cross multiply
    234.72x = 324 × 185.76
  4. Step 4: Simplify right side
    234.72x = 60,186.24
  5. Step 5: Solve for x
    x = 60,186.24/234.72
  6. Step 6: Final answer
    x = 256.42

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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.