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Finding the Fourth Proportional to 250.28, 374.76 and 192.32

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Solution

The fourth proportional to 250.28, 374.76 and 192.32 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.28 : 374.76 = 192.32 : x
  2. Step 2: Convert to fraction form
    250.28/374.76 = 192.32/x
  3. Step 3: Cross multiply
    250.28x = 374.76 × 192.32
  4. Step 4: Simplify right side
    250.28x = 72,073.84
  5. Step 5: Solve for x
    x = 72,073.84/250.28
  6. Step 6: Final answer
    x = 287.97

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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.