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Finding the Fourth Proportional to 234.89, 323.96 and 152.01

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Solution

The fourth proportional to 234.89, 323.96 and 152.01 is: 209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.89 : 323.96 = 152.01 : x
  2. Step 2: Convert to fraction form
    234.89/323.96 = 152.01/x
  3. Step 3: Cross multiply
    234.89x = 323.96 × 152.01
  4. Step 4: Simplify right side
    234.89x = 49,245.16
  5. Step 5: Solve for x
    x = 49,245.16/234.89
  6. Step 6: Final answer
    x = 209.65

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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.