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Finding the Fourth Proportional to 378.33, 566.91 and 248.10

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Solution

The fourth proportional to 378.33, 566.91 and 248.10 is: 371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.33 : 566.91 = 248.10 : x
  2. Step 2: Convert to fraction form
    378.33/566.91 = 248.10/x
  3. Step 3: Cross multiply
    378.33x = 566.91 × 248.10
  4. Step 4: Simplify right side
    378.33x = 140,650.37
  5. Step 5: Solve for x
    x = 140,650.37/378.33
  6. Step 6: Final answer
    x = 371.77

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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.