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Finding the Fourth Proportional to 231.80, 319.90 and 132.23

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Solution

The fourth proportional to 231.80, 319.90 and 132.23 is: 182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.80 : 319.90 = 132.23 : x
  2. Step 2: Convert to fraction form
    231.80/319.90 = 132.23/x
  3. Step 3: Cross multiply
    231.80x = 319.90 × 132.23
  4. Step 4: Simplify right side
    231.80x = 42,301.51
  5. Step 5: Solve for x
    x = 42,301.51/231.80
  6. Step 6: Final answer
    x = 182.49

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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.