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Finding the Fourth Proportional to 231.93, 320.09 and 133.70

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Solution

The fourth proportional to 231.93, 320.09 and 133.70 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 320.09 = 133.70 : x
  2. Step 2: Convert to fraction form
    231.93/320.09 = 133.70/x
  3. Step 3: Cross multiply
    231.93x = 320.09 × 133.70
  4. Step 4: Simplify right side
    231.93x = 42,796.03
  5. Step 5: Solve for x
    x = 42,796.03/231.93
  6. Step 6: Final answer
    x = 184.52

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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.