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Finding the Fourth Proportional to 243.52, 335.83 and 167.99

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Solution

The fourth proportional to 243.52, 335.83 and 167.99 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.52 : 335.83 = 167.99 : x
  2. Step 2: Convert to fraction form
    243.52/335.83 = 167.99/x
  3. Step 3: Cross multiply
    243.52x = 335.83 × 167.99
  4. Step 4: Simplify right side
    243.52x = 56,416.19
  5. Step 5: Solve for x
    x = 56,416.19/243.52
  6. Step 6: Final answer
    x = 231.67

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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.