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Finding the Fourth Proportional to 825.16, 1,237.56 and 248.02

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Solution

The fourth proportional to 825.16, 1,237.56 and 248.02 is: 371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,237.56 = 248.02 : x
  2. Step 2: Convert to fraction form
    825.16/1,237.56 = 248.02/x
  3. Step 3: Cross multiply
    825.16x = 1,237.56 × 248.02
  4. Step 4: Simplify right side
    825.16x = 306,939.63
  5. Step 5: Solve for x
    x = 306,939.63/825.16
  6. Step 6: Final answer
    x = 371.98

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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.