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Finding the Fourth Proportional to 231.58, 319.68 and 176.46

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Solution

The fourth proportional to 231.58, 319.68 and 176.46 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.58 : 319.68 = 176.46 : x
  2. Step 2: Convert to fraction form
    231.58/319.68 = 176.46/x
  3. Step 3: Cross multiply
    231.58x = 319.68 × 176.46
  4. Step 4: Simplify right side
    231.58x = 56,410.73
  5. Step 5: Solve for x
    x = 56,410.73/231.58
  6. Step 6: Final answer
    x = 243.59

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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.