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Finding the Fourth Proportional to 185.23, 255.14 and 155.69

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Solution

The fourth proportional to 185.23, 255.14 and 155.69 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.23 : 255.14 = 155.69 : x
  2. Step 2: Convert to fraction form
    185.23/255.14 = 155.69/x
  3. Step 3: Cross multiply
    185.23x = 255.14 × 155.69
  4. Step 4: Simplify right side
    185.23x = 39,722.75
  5. Step 5: Solve for x
    x = 39,722.75/185.23
  6. Step 6: Final answer
    x = 214.45

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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.