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Finding the Fourth Proportional to 175.24, 241.67 and 138.33

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Solution

The fourth proportional to 175.24, 241.67 and 138.33 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.24 : 241.67 = 138.33 : x
  2. Step 2: Convert to fraction form
    175.24/241.67 = 138.33/x
  3. Step 3: Cross multiply
    175.24x = 241.67 × 138.33
  4. Step 4: Simplify right side
    175.24x = 33,430.21
  5. Step 5: Solve for x
    x = 33,430.21/175.24
  6. Step 6: Final answer
    x = 190.77

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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.