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Finding the Fourth Proportional to 232.26, 320.14 and 185.55

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Solution

The fourth proportional to 232.26, 320.14 and 185.55 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 320.14 = 185.55 : x
  2. Step 2: Convert to fraction form
    232.26/320.14 = 185.55/x
  3. Step 3: Cross multiply
    232.26x = 320.14 × 185.55
  4. Step 4: Simplify right side
    232.26x = 59,401.51
  5. Step 5: Solve for x
    x = 59,401.51/232.26
  6. Step 6: Final answer
    x = 255.75

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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.