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Finding the Fourth Proportional to 240.01, 330.99 and 203.24

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Solution

The fourth proportional to 240.01, 330.99 and 203.24 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.01 : 330.99 = 203.24 : x
  2. Step 2: Convert to fraction form
    240.01/330.99 = 203.24/x
  3. Step 3: Cross multiply
    240.01x = 330.99 × 203.24
  4. Step 4: Simplify right side
    240.01x = 67,270.41
  5. Step 5: Solve for x
    x = 67,270.41/240.01
  6. Step 6: Final answer
    x = 280.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.