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Finding the Fourth Proportional to 231.96, 320.03 and 176.78

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Solution

The fourth proportional to 231.96, 320.03 and 176.78 is: 243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 320.03 = 176.78 : x
  2. Step 2: Convert to fraction form
    231.96/320.03 = 176.78/x
  3. Step 3: Cross multiply
    231.96x = 320.03 × 176.78
  4. Step 4: Simplify right side
    231.96x = 56,573.30
  5. Step 5: Solve for x
    x = 56,573.30/231.96
  6. Step 6: Final answer
    x = 243.89

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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.