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Finding the Fourth Proportional to 180.96, 250.08 and 145.92

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Solution

The fourth proportional to 180.96, 250.08 and 145.92 is: 201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 250.08 = 145.92 : x
  2. Step 2: Convert to fraction form
    180.96/250.08 = 145.92/x
  3. Step 3: Cross multiply
    180.96x = 250.08 × 145.92
  4. Step 4: Simplify right side
    180.96x = 36,491.67
  5. Step 5: Solve for x
    x = 36,491.67/180.96
  6. Step 6: Final answer
    x = 201.66

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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.