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Finding the Fourth Proportional to 231.90, 319.93 and 133.64

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Solution

The fourth proportional to 231.90, 319.93 and 133.64 is: 184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.90 : 319.93 = 133.64 : x
  2. Step 2: Convert to fraction form
    231.90/319.93 = 133.64/x
  3. Step 3: Cross multiply
    231.90x = 319.93 × 133.64
  4. Step 4: Simplify right side
    231.90x = 42,755.46
  5. Step 5: Solve for x
    x = 42,755.46/231.90
  6. Step 6: Final answer
    x = 184.37

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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.