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Finding the Fourth Proportional to 825.01, 1,237.33 and 240.01

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Solution

The fourth proportional to 825.01, 1,237.33 and 240.01 is: 359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.01 : 1,237.33 = 240.01 : x
  2. Step 2: Convert to fraction form
    825.01/1,237.33 = 240.01/x
  3. Step 3: Cross multiply
    825.01x = 1,237.33 × 240.01
  4. Step 4: Simplify right side
    825.01x = 296,971.57
  5. Step 5: Solve for x
    x = 296,971.57/825.01
  6. Step 6: Final answer
    x = 359.96

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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.