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Finding the Fourth Proportional to 185.69, 255.63 and 153.89

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Solution

The fourth proportional to 185.69, 255.63 and 153.89 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 255.63 = 153.89 : x
  2. Step 2: Convert to fraction form
    185.69/255.63 = 153.89/x
  3. Step 3: Cross multiply
    185.69x = 255.63 × 153.89
  4. Step 4: Simplify right side
    185.69x = 39,340.12
  5. Step 5: Solve for x
    x = 39,340.12/185.69
  6. Step 6: Final answer
    x = 211.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.