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Finding the Fourth Proportional to 231.90, 320.07 and 133.66

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Solution

The fourth proportional to 231.90, 320.07 and 133.66 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.90 : 320.07 = 133.66 : x
  2. Step 2: Convert to fraction form
    231.90/320.07 = 133.66/x
  3. Step 3: Cross multiply
    231.90x = 320.07 × 133.66
  4. Step 4: Simplify right side
    231.90x = 42,780.56
  5. Step 5: Solve for x
    x = 42,780.56/231.90
  6. Step 6: Final answer
    x = 184.48

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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.