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Finding the Fourth Proportional to 183.86, 275.20 and 102.45

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Solution

The fourth proportional to 183.86, 275.20 and 102.45 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.86 : 275.20 = 102.45 : x
  2. Step 2: Convert to fraction form
    183.86/275.20 = 102.45/x
  3. Step 3: Cross multiply
    183.86x = 275.20 × 102.45
  4. Step 4: Simplify right side
    183.86x = 28,193.98
  5. Step 5: Solve for x
    x = 28,193.98/183.86
  6. Step 6: Final answer
    x = 153.35

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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.