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Finding the Fourth Proportional to 183.89, 275.70 and 102.62

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Solution

The fourth proportional to 183.89, 275.70 and 102.62 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.89 : 275.70 = 102.62 : x
  2. Step 2: Convert to fraction form
    183.89/275.70 = 102.62/x
  3. Step 3: Cross multiply
    183.89x = 275.70 × 102.62
  4. Step 4: Simplify right side
    183.89x = 28,293.41
  5. Step 5: Solve for x
    x = 28,293.41/183.89
  6. Step 6: Final answer
    x = 153.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.