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Finding the Fourth Proportional to 250.84, 375.91 and 96.64

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Solution

The fourth proportional to 250.84, 375.91 and 96.64 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.84 : 375.91 = 96.64 : x
  2. Step 2: Convert to fraction form
    250.84/375.91 = 96.64/x
  3. Step 3: Cross multiply
    250.84x = 375.91 × 96.64
  4. Step 4: Simplify right side
    250.84x = 36,327.94
  5. Step 5: Solve for x
    x = 36,327.94/250.84
  6. Step 6: Final answer
    x = 144.83

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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.