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Finding the Fourth Proportional to 231.74, 319.79 and 133.50

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Solution

The fourth proportional to 231.74, 319.79 and 133.50 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.74 : 319.79 = 133.50 : x
  2. Step 2: Convert to fraction form
    231.74/319.79 = 133.50/x
  3. Step 3: Cross multiply
    231.74x = 319.79 × 133.50
  4. Step 4: Simplify right side
    231.74x = 42,691.30
  5. Step 5: Solve for x
    x = 42,691.30/231.74
  6. Step 6: Final answer
    x = 184.22

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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.