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Finding the Fourth Proportional to 183.95, 275.42 and 145.50

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Solution

The fourth proportional to 183.95, 275.42 and 145.50 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.95 : 275.42 = 145.50 : x
  2. Step 2: Convert to fraction form
    183.95/275.42 = 145.50/x
  3. Step 3: Cross multiply
    183.95x = 275.42 × 145.50
  4. Step 4: Simplify right side
    183.95x = 40,072.88
  5. Step 5: Solve for x
    x = 40,072.88/183.95
  6. Step 6: Final answer
    x = 217.85

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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.