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Finding the Fourth Proportional to 825.25, 1,238.10 and 248.14

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Solution

The fourth proportional to 825.25, 1,238.10 and 248.14 is: 372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.25 : 1,238.10 = 248.14 : x
  2. Step 2: Convert to fraction form
    825.25/1,238.10 = 248.14/x
  3. Step 3: Cross multiply
    825.25x = 1,238.10 × 248.14
  4. Step 4: Simplify right side
    825.25x = 307,222.13
  5. Step 5: Solve for x
    x = 307,222.13/825.25
  6. Step 6: Final answer
    x = 372.28

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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.