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Finding the Fourth Proportional to 231.52, 319.44 and 138.24

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Solution

The fourth proportional to 231.52, 319.44 and 138.24 is: 190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.52 : 319.44 = 138.24 : x
  2. Step 2: Convert to fraction form
    231.52/319.44 = 138.24/x
  3. Step 3: Cross multiply
    231.52x = 319.44 × 138.24
  4. Step 4: Simplify right side
    231.52x = 44,159.39
  5. Step 5: Solve for x
    x = 44,159.39/231.52
  6. Step 6: Final answer
    x = 190.74

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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.