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Finding the Fourth Proportional to 234.72, 324.72 and 190.08

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Solution

The fourth proportional to 234.72, 324.72 and 190.08 is: 262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 324.72 = 190.08 : x
  2. Step 2: Convert to fraction form
    234.72/324.72 = 190.08/x
  3. Step 3: Cross multiply
    234.72x = 324.72 × 190.08
  4. Step 4: Simplify right side
    234.72x = 61,722.78
  5. Step 5: Solve for x
    x = 61,722.78/234.72
  6. Step 6: Final answer
    x = 262.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.