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Finding the Fourth Proportional to 378.88, 566.88 and 250

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Solution

The fourth proportional to 378.88, 566.88 and 250 is: 374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.88 : 566.88 = 250 : x
  2. Step 2: Convert to fraction form
    378.88/566.88 = 250/x
  3. Step 3: Cross multiply
    378.88x = 566.88 × 250
  4. Step 4: Simplify right side
    378.88x = 141,720
  5. Step 5: Solve for x
    x = 141,720/378.88
  6. Step 6: Final answer
    x = 374.05

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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.