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Finding the Fourth Proportional to 250.96, 376.30 and 96.75

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Solution

The fourth proportional to 250.96, 376.30 and 96.75 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.96 : 376.30 = 96.75 : x
  2. Step 2: Convert to fraction form
    250.96/376.30 = 96.75/x
  3. Step 3: Cross multiply
    250.96x = 376.30 × 96.75
  4. Step 4: Simplify right side
    250.96x = 36,407.03
  5. Step 5: Solve for x
    x = 36,407.03/250.96
  6. Step 6: Final answer
    x = 145.07

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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.