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Finding the Fourth Proportional to 231.08, 344.90 and 176.72

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Solution

The fourth proportional to 231.08, 344.90 and 176.72 is: 263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.08 : 344.90 = 176.72 : x
  2. Step 2: Convert to fraction form
    231.08/344.90 = 176.72/x
  3. Step 3: Cross multiply
    231.08x = 344.90 × 176.72
  4. Step 4: Simplify right side
    231.08x = 60,950.73
  5. Step 5: Solve for x
    x = 60,950.73/231.08
  6. Step 6: Final answer
    x = 263.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.