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Finding the Fourth Proportional to 231.60, 319.74 and 161.76

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Solution

The fourth proportional to 231.60, 319.74 and 161.76 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.60 : 319.74 = 161.76 : x
  2. Step 2: Convert to fraction form
    231.60/319.74 = 161.76/x
  3. Step 3: Cross multiply
    231.60x = 319.74 × 161.76
  4. Step 4: Simplify right side
    231.60x = 51,721.14
  5. Step 5: Solve for x
    x = 51,721.14/231.60
  6. Step 6: Final answer
    x = 223.32

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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.