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Finding the Fourth Proportional to 681.06, 1,021.72 and 248.20

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Solution

The fourth proportional to 681.06, 1,021.72 and 248.20 is: 372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.06 : 1,021.72 = 248.20 : x
  2. Step 2: Convert to fraction form
    681.06/1,021.72 = 248.20/x
  3. Step 3: Cross multiply
    681.06x = 1,021.72 × 248.20
  4. Step 4: Simplify right side
    681.06x = 253,590.90
  5. Step 5: Solve for x
    x = 253,590.90/681.06
  6. Step 6: Final answer
    x = 372.35

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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.